Finding the Third Proportional to 2,524.50 and 3,874.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,524.50 : 3,874.88 = 3,874.88 : x
2. Step 2: Convert to fraction form
   2,524.50/3,874.88 = 3,874.88/x
3. Step 3: Cross multiply
   2,524.50x = 3,874.88 × 3,874.88
4. Step 4: Simplify right side
   2,524.50x = 15,014,656.27
5. Step 5: Solve for x
   x = 15,014,656.27/2,524.50
6. Step 6: Final answer
   x = 5,947.58