Finding the Third Proportional to 32,040 and 74,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,040 : 74,857.50 = 74,857.50 : x
2. Step 2: Convert to fraction form
   32,040/74,857.50 = 74,857.50/x
3. Step 3: Cross multiply
   32,040x = 74,857.50 × 74,857.50
4. Step 4: Simplify right side
   32,040x = 5,603,645,306.25
5. Step 5: Solve for x
   x = 5,603,645,306.25/32,040
6. Step 6: Final answer
   x = 174,895.30