Finding the Third Proportional to 2,494.55 and 3,876.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,494.55 : 3,876.61 = 3,876.61 : x
2. Step 2: Convert to fraction form
   2,494.55/3,876.61 = 3,876.61/x
3. Step 3: Cross multiply
   2,494.55x = 3,876.61 × 3,876.61
4. Step 4: Simplify right side
   2,494.55x = 15,028,100.25
5. Step 5: Solve for x
   x = 15,028,100.25/2,494.55
6. Step 6: Final answer
   x = 6,024.38