Finding the Third Proportional to 19,412 and 30,786

Step by Step Solution

1. Step 1: Write the proportion equation
   19,412 : 30,786 = 30,786 : x
2. Step 2: Convert to fraction form
   19,412/30,786 = 30,786/x
3. Step 3: Cross multiply
   19,412x = 30,786 × 30,786
4. Step 4: Simplify right side
   19,412x = 947,777,796
5. Step 5: Solve for x
   x = 947,777,796/19,412
6. Step 6: Final answer
   x = 48,824.32