Finding the Third Proportional to 31,769 and 67,761

Step by Step Solution

1. Step 1: Write the proportion equation
   31,769 : 67,761 = 67,761 : x
2. Step 2: Convert to fraction form
   31,769/67,761 = 67,761/x
3. Step 3: Cross multiply
   31,769x = 67,761 × 67,761
4. Step 4: Simplify right side
   31,769x = 4,591,553,121
5. Step 5: Solve for x
   x = 4,591,553,121/31,769
6. Step 6: Final answer
   x = 144,529.36