Finding the Third Proportional to 17,653.50 and 25,891.31

Step by Step Solution

1. Step 1: Write the proportion equation
   17,653.50 : 25,891.31 = 25,891.31 : x
2. Step 2: Convert to fraction form
   17,653.50/25,891.31 = 25,891.31/x
3. Step 3: Cross multiply
   17,653.50x = 25,891.31 × 25,891.31
4. Step 4: Simplify right side
   17,653.50x = 670,360,062.97
5. Step 5: Solve for x
   x = 670,360,062.97/17,653.50
6. Step 6: Final answer
   x = 37,973.21