Finding the Third Proportional to 31,529.50 and 64,517

Step by Step Solution

1. Step 1: Write the proportion equation
   31,529.50 : 64,517 = 64,517 : x
2. Step 2: Convert to fraction form
   31,529.50/64,517 = 64,517/x
3. Step 3: Cross multiply
   31,529.50x = 64,517 × 64,517
4. Step 4: Simplify right side
   31,529.50x = 4,162,443,289
5. Step 5: Solve for x
   x = 4,162,443,289/31,529.50
6. Step 6: Final answer
   x = 132,017.42