Finding the Third Proportional to 2,437.59 and 5,686.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,437.59 : 5,686.77 = 5,686.77 : x
2. Step 2: Convert to fraction form
   2,437.59/5,686.77 = 5,686.77/x
3. Step 3: Cross multiply
   2,437.59x = 5,686.77 × 5,686.77
4. Step 4: Simplify right side
   2,437.59x = 32,339,347.70
5. Step 5: Solve for x
   x = 32,339,347.70/2,437.59
6. Step 6: Final answer
   x = 13,266.91