Finding the Third Proportional to 2,926.13 and 7,414.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,926.13 : 7,414.88 = 7,414.88 : x
2. Step 2: Convert to fraction form
   2,926.13/7,414.88 = 7,414.88/x
3. Step 3: Cross multiply
   2,926.13x = 7,414.88 × 7,414.88
4. Step 4: Simplify right side
   2,926.13x = 54,980,371.27
5. Step 5: Solve for x
   x = 54,980,371.27/2,926.13
6. Step 6: Final answer
   x = 18,789.48