Finding the Third Proportional to 2,407.13 and 3,697.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.13 : 3,697.69 = 3,697.69 : x
2. Step 2: Convert to fraction form
   2,407.13/3,697.69 = 3,697.69/x
3. Step 3: Cross multiply
   2,407.13x = 3,697.69 × 3,697.69
4. Step 4: Simplify right side
   2,407.13x = 13,672,892.85
5. Step 5: Solve for x
   x = 13,672,892.85/2,407.13
6. Step 6: Final answer
   x = 5,680.18