Finding the Third Proportional to 14,782.50 and 24,198.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,782.50 : 24,198.75 = 24,198.75 : x
2. Step 2: Convert to fraction form
   14,782.50/24,198.75 = 24,198.75/x
3. Step 3: Cross multiply
   14,782.50x = 24,198.75 × 24,198.75
4. Step 4: Simplify right side
   14,782.50x = 585,579,501.56
5. Step 5: Solve for x
   x = 585,579,501.56/14,782.50
6. Step 6: Final answer
   x = 39,613.02