Finding the Third Proportional to 2,414.63 and 5,290.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,414.63 : 5,290.13 = 5,290.13 : x
2. Step 2: Convert to fraction form
   2,414.63/5,290.13 = 5,290.13/x
3. Step 3: Cross multiply
   2,414.63x = 5,290.13 × 5,290.13
4. Step 4: Simplify right side
   2,414.63x = 27,985,422.52
5. Step 5: Solve for x
   x = 27,985,422.52/2,414.63
6. Step 6: Final answer
   x = 11,589.97