Finding the Third Proportional to 2,406.59 and 3,697.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406.59 : 3,697.52 = 3,697.52 : x
2. Step 2: Convert to fraction form
   2,406.59/3,697.52 = 3,697.52/x
3. Step 3: Cross multiply
   2,406.59x = 3,697.52 × 3,697.52
4. Step 4: Simplify right side
   2,406.59x = 13,671,679.57
5. Step 5: Solve for x
   x = 13,671,679.57/2,406.59
6. Step 6: Final answer
   x = 5,680.94