Finding the Third Proportional to 2,462.34 and 3,695.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.34 : 3,695.20 = 3,695.20 : x
2. Step 2: Convert to fraction form
   2,462.34/3,695.20 = 3,695.20/x
3. Step 3: Cross multiply
   2,462.34x = 3,695.20 × 3,695.20
4. Step 4: Simplify right side
   2,462.34x = 13,654,526.14
5. Step 5: Solve for x
   x = 13,654,526.14/2,462.34
6. Step 6: Final answer
   x = 5,545.34