Finding the Third Proportional to 31,140 and 67,464

Step by Step Solution

1. Step 1: Write the proportion equation
   31,140 : 67,464 = 67,464 : x
2. Step 2: Convert to fraction form
   31,140/67,464 = 67,464/x
3. Step 3: Cross multiply
   31,140x = 67,464 × 67,464
4. Step 4: Simplify right side
   31,140x = 4,551,391,296
5. Step 5: Solve for x
   x = 4,551,391,296/31,140
6. Step 6: Final answer
   x = 146,159.00