Finding the Third Proportional to 31,475.50 and 67,629

Step by Step Solution

1. Step 1: Write the proportion equation
   31,475.50 : 67,629 = 67,629 : x
2. Step 2: Convert to fraction form
   31,475.50/67,629 = 67,629/x
3. Step 3: Cross multiply
   31,475.50x = 67,629 × 67,629
4. Step 4: Simplify right side
   31,475.50x = 4,573,681,641
5. Step 5: Solve for x
   x = 4,573,681,641/31,475.50
6. Step 6: Final answer
   x = 145,309.26