Finding the Third Proportional to 31,708 and 69,464

Step by Step Solution

1. Step 1: Write the proportion equation
   31,708 : 69,464 = 69,464 : x
2. Step 2: Convert to fraction form
   31,708/69,464 = 69,464/x
3. Step 3: Cross multiply
   31,708x = 69,464 × 69,464
4. Step 4: Simplify right side
   31,708x = 4,825,247,296
5. Step 5: Solve for x
   x = 4,825,247,296/31,708
6. Step 6: Final answer
   x = 152,177.60