Finding the Third Proportional to 65,512 and 101,676

Step by Step Solution

1. Step 1: Write the proportion equation
   65,512 : 101,676 = 101,676 : x
2. Step 2: Convert to fraction form
   65,512/101,676 = 101,676/x
3. Step 3: Cross multiply
   65,512x = 101,676 × 101,676
4. Step 4: Simplify right side
   65,512x = 10,338,008,976
5. Step 5: Solve for x
   x = 10,338,008,976/65,512
6. Step 6: Final answer
   x = 157,803.29