Finding the Third Proportional to 65,713 and 101,658

Step by Step Solution

1. Step 1: Write the proportion equation
   65,713 : 101,658 = 101,658 : x
2. Step 2: Convert to fraction form
   65,713/101,658 = 101,658/x
3. Step 3: Cross multiply
   65,713x = 101,658 × 101,658
4. Step 4: Simplify right side
   65,713x = 10,334,348,964
5. Step 5: Solve for x
   x = 10,334,348,964/65,713
6. Step 6: Final answer
   x = 157,264.91