Finding the Third Proportional to 65,614 and 101,792

Step by Step Solution

1. Step 1: Write the proportion equation
   65,614 : 101,792 = 101,792 : x
2. Step 2: Convert to fraction form
   65,614/101,792 = 101,792/x
3. Step 3: Cross multiply
   65,614x = 101,792 × 101,792
4. Step 4: Simplify right side
   65,614x = 10,361,611,264
5. Step 5: Solve for x
   x = 10,361,611,264/65,614
6. Step 6: Final answer
   x = 157,917.69