Finding the Third Proportional to 2,437.59 and 5,342.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,437.59 : 5,342.20 = 5,342.20 : x
2. Step 2: Convert to fraction form
   2,437.59/5,342.20 = 5,342.20/x
3. Step 3: Cross multiply
   2,437.59x = 5,342.20 × 5,342.20
4. Step 4: Simplify right side
   2,437.59x = 28,539,134.23
5. Step 5: Solve for x
   x = 28,539,134.23/2,437.59
6. Step 6: Final answer
   x = 11,707.91