Finding the Third Proportional to 31,472 and 64,396

Step by Step Solution

1. Step 1: Write the proportion equation
   31,472 : 64,396 = 64,396 : x
2. Step 2: Convert to fraction form
   31,472/64,396 = 64,396/x
3. Step 3: Cross multiply
   31,472x = 64,396 × 64,396
4. Step 4: Simplify right side
   31,472x = 4,146,844,816
5. Step 5: Solve for x
   x = 4,146,844,816/31,472
6. Step 6: Final answer
   x = 131,762.99