Finding the Third Proportional to 31,536 and 67,854

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 67,854 = 67,854 : x
2. Step 2: Convert to fraction form
   31,536/67,854 = 67,854/x
3. Step 3: Cross multiply
   31,536x = 67,854 × 67,854
4. Step 4: Simplify right side
   31,536x = 4,604,165,316
5. Step 5: Solve for x
   x = 4,604,165,316/31,536
6. Step 6: Final answer
   x = 145,997.12