Finding the Third Proportional to 31,423 and 67,767

Step by Step Solution

1. Step 1: Write the proportion equation
   31,423 : 67,767 = 67,767 : x
2. Step 2: Convert to fraction form
   31,423/67,767 = 67,767/x
3. Step 3: Cross multiply
   31,423x = 67,767 × 67,767
4. Step 4: Simplify right side
   31,423x = 4,592,366,289
5. Step 5: Solve for x
   x = 4,592,366,289/31,423
6. Step 6: Final answer
   x = 146,146.65