Finding the Third Proportional to 17,689.64 and 25,805.46

Step by Step Solution

1. Step 1: Write the proportion equation
   17,689.64 : 25,805.46 = 25,805.46 : x
2. Step 2: Convert to fraction form
   17,689.64/25,805.46 = 25,805.46/x
3. Step 3: Cross multiply
   17,689.64x = 25,805.46 × 25,805.46
4. Step 4: Simplify right side
   17,689.64x = 665,921,814.20
5. Step 5: Solve for x
   x = 665,921,814.20/17,689.64
6. Step 6: Final answer
   x = 37,644.73