Finding the Third Proportional to 65,662 and 101,656

Step by Step Solution

1. Step 1: Write the proportion equation
   65,662 : 101,656 = 101,656 : x
2. Step 2: Convert to fraction form
   65,662/101,656 = 101,656/x
3. Step 3: Cross multiply
   65,662x = 101,656 × 101,656
4. Step 4: Simplify right side
   65,662x = 10,333,942,336
5. Step 5: Solve for x
   x = 10,333,942,336/65,662
6. Step 6: Final answer
   x = 157,380.86