Finding the Third Proportional to 17,407.50 and 25,382.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,407.50 : 25,382.25 = 25,382.25 : x
2. Step 2: Convert to fraction form
   17,407.50/25,382.25 = 25,382.25/x
3. Step 3: Cross multiply
   17,407.50x = 25,382.25 × 25,382.25
4. Step 4: Simplify right side
   17,407.50x = 644,258,615.06
5. Step 5: Solve for x
   x = 644,258,615.06/17,407.50
6. Step 6: Final answer
   x = 37,010.40