Finding the Third Proportional to 31,629 and 67,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,629 : 67,947.50 = 67,947.50 : x
2. Step 2: Convert to fraction form
   31,629/67,947.50 = 67,947.50/x
3. Step 3: Cross multiply
   31,629x = 67,947.50 × 67,947.50
4. Step 4: Simplify right side
   31,629x = 4,616,862,756.25
5. Step 5: Solve for x
   x = 4,616,862,756.25/31,629
6. Step 6: Final answer
   x = 145,969.29