Finding the Third Proportional to 17,797.50 and 25,778.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,797.50 : 25,778.25 = 25,778.25 : x
2. Step 2: Convert to fraction form
   17,797.50/25,778.25 = 25,778.25/x
3. Step 3: Cross multiply
   17,797.50x = 25,778.25 × 25,778.25
4. Step 4: Simplify right side
   17,797.50x = 664,518,173.06
5. Step 5: Solve for x
   x = 664,518,173.06/17,797.50
6. Step 6: Final answer
   x = 37,337.73