Finding the Third Proportional to 2,158.13 and 2,380.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.13 : 2,380.88 = 2,380.88 : x
2. Step 2: Convert to fraction form
   2,158.13/2,380.88 = 2,380.88/x
3. Step 3: Cross multiply
   2,158.13x = 2,380.88 × 2,380.88
4. Step 4: Simplify right side
   2,158.13x = 5,668,565.77
5. Step 5: Solve for x
   x = 5,668,565.77/2,158.13
6. Step 6: Final answer
   x = 2,626.62