Finding the Third Proportional to 8,513,373,213,216 and 17,630,204,105,664

Step by Step Solution

1. Step 1: Write the proportion equation
   8,513,373,213,216 : 17,630,204,105,664 = 17,630,204,105,664 : x
2. Step 2: Convert to fraction form
   8,513,373,213,216/17,630,204,105,664 = 17,630,204,105,664/x
3. Step 3: Cross multiply
   8,513,373,213,216x = 17,630,204,105,664 × 17,630,204,105,664
4. Step 4: Simplify right side
   8,513,373,213,216x = 310,824,096,807,371,782,095,896,576
5. Step 5: Solve for x
   x = 310,824,096,807,371,782,095,896,576/8,513,373,213,216
6. Step 6: Final answer
   x = 36,510,098,761,423.30