Finding the Third Proportional to 17,786.50 and 25,761.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,786.50 : 25,761.25 = 25,761.25 : x
2. Step 2: Convert to fraction form
   17,786.50/25,761.25 = 25,761.25/x
3. Step 3: Cross multiply
   17,786.50x = 25,761.25 × 25,761.25
4. Step 4: Simplify right side
   17,786.50x = 663,642,001.56
5. Step 5: Solve for x
   x = 663,642,001.56/17,786.50
6. Step 6: Final answer
   x = 37,311.56