Finding the Third Proportional to 2,380.64 and 5,158.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,380.64 : 5,158.55 = 5,158.55 : x
2. Step 2: Convert to fraction form
   2,380.64/5,158.55 = 5,158.55/x
3. Step 3: Cross multiply
   2,380.64x = 5,158.55 × 5,158.55
4. Step 4: Simplify right side
   2,380.64x = 26,610,605.86
5. Step 5: Solve for x
   x = 26,610,605.86/2,380.64
6. Step 6: Final answer
   x = 11,177.92