Finding the Third Proportional to 31,782 and 67,785

Step by Step Solution

1. Step 1: Write the proportion equation
   31,782 : 67,785 = 67,785 : x
2. Step 2: Convert to fraction form
   31,782/67,785 = 67,785/x
3. Step 3: Cross multiply
   31,782x = 67,785 × 67,785
4. Step 4: Simplify right side
   31,782x = 4,594,806,225
5. Step 5: Solve for x
   x = 4,594,806,225/31,782
6. Step 6: Final answer
   x = 144,572.60