Finding the Third Proportional to 31,005 and 67,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,005 : 67,540.50 = 67,540.50 : x
2. Step 2: Convert to fraction form
   31,005/67,540.50 = 67,540.50/x
3. Step 3: Cross multiply
   31,005x = 67,540.50 × 67,540.50
4. Step 4: Simplify right side
   31,005x = 4,561,719,140.25
5. Step 5: Solve for x
   x = 4,561,719,140.25/31,005
6. Step 6: Final answer
   x = 147,128.50