Finding the Third Proportional to 17,509.50 and 25,292.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,509.50 : 25,292.25 = 25,292.25 : x
2. Step 2: Convert to fraction form
   17,509.50/25,292.25 = 25,292.25/x
3. Step 3: Cross multiply
   17,509.50x = 25,292.25 × 25,292.25
4. Step 4: Simplify right side
   17,509.50x = 639,697,910.06
5. Step 5: Solve for x
   x = 639,697,910.06/17,509.50
6. Step 6: Final answer
   x = 36,534.33