Finding the Third Proportional to 2,575.13 and 3,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.13 : 3,874.50 = 3,874.50 : x
2. Step 2: Convert to fraction form
   2,575.13/3,874.50 = 3,874.50/x
3. Step 3: Cross multiply
   2,575.13x = 3,874.50 × 3,874.50
4. Step 4: Simplify right side
   2,575.13x = 15,011,750.25
5. Step 5: Solve for x
   x = 15,011,750.25/2,575.13
6. Step 6: Final answer
   x = 5,829.52