Finding the Third Proportional to 31,474.50 and 67,627

Step by Step Solution

1. Step 1: Write the proportion equation
   31,474.50 : 67,627 = 67,627 : x
2. Step 2: Convert to fraction form
   31,474.50/67,627 = 67,627/x
3. Step 3: Cross multiply
   31,474.50x = 67,627 × 67,627
4. Step 4: Simplify right side
   31,474.50x = 4,573,411,129
5. Step 5: Solve for x
   x = 4,573,411,129/31,474.50
6. Step 6: Final answer
   x = 145,305.28