Finding the Third Proportional to 32,472 and 74,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,472 : 74,137.50 = 74,137.50 : x
2. Step 2: Convert to fraction form
   32,472/74,137.50 = 74,137.50/x
3. Step 3: Cross multiply
   32,472x = 74,137.50 × 74,137.50
4. Step 4: Simplify right side
   32,472x = 5,496,368,906.25
5. Step 5: Solve for x
   x = 5,496,368,906.25/32,472
6. Step 6: Final answer
   x = 169,264.87