Finding the Third Proportional to 31,782 and 69,612

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782 : 69,612 = 69,612 : x
2. Step 2: Convert to fraction form
   31,782/69,612 = 69,612/x
3. Step 3: Cross multiply
   31,782x = 69,612 × 69,612
4. Step 4: Simplify right side
   31,782x = 4,845,830,544
5. Step 5: Solve for x
   x = 4,845,830,544/31,782
6. Step 6: Final answer
   x = 152,470.91