Finding the Third Proportional to 2,524.50 and 6,086.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,524.50 : 6,086.25 = 6,086.25 : x
2. Step 2: Convert to fraction form
   2,524.50/6,086.25 = 6,086.25/x
3. Step 3: Cross multiply
   2,524.50x = 6,086.25 × 6,086.25
4. Step 4: Simplify right side
   2,524.50x = 37,042,439.06
5. Step 5: Solve for x
   x = 37,042,439.06/2,524.50
6. Step 6: Final answer
   x = 14,673.18