Finding the Third Proportional to 17,670 and 25,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,670 : 25,552.50 = 25,552.50 : x
2. Step 2: Convert to fraction form
   17,670/25,552.50 = 25,552.50/x
3. Step 3: Cross multiply
   17,670x = 25,552.50 × 25,552.50
4. Step 4: Simplify right side
   17,670x = 652,930,256.25
5. Step 5: Solve for x
   x = 652,930,256.25/17,670
6. Step 6: Final answer
   x = 36,951.34