Finding the Third Proportional to 9,811,827,042,384 and 21,470,186,228,784

Step by Step Solution

1. Step 1: Write the proportion equation
   9,811,827,042,384 : 21,470,186,228,784 = 21,470,186,228,784 : x
2. Step 2: Convert to fraction form
   9,811,827,042,384/21,470,186,228,784 = 21,470,186,228,784/x
3. Step 3: Cross multiply
   9,811,827,042,384x = 21,470,186,228,784 × 21,470,186,228,784
4. Step 4: Simplify right side
   9,811,827,042,384x = 460,968,896,698,666,139,827,306,496
5. Step 5: Solve for x
   x = 460,968,896,698,666,139,827,306,496/9,811,827,042,384
6. Step 6: Final answer
   x = 46,980,943,988,048.89