Finding the Third Proportional to 2,298.38 and 3,655.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,298.38 : 3,655.13 = 3,655.13 : x
2. Step 2: Convert to fraction form
   2,298.38/3,655.13 = 3,655.13/x
3. Step 3: Cross multiply
   2,298.38x = 3,655.13 × 3,655.13
4. Step 4: Simplify right side
   2,298.38x = 13,359,938.77
5. Step 5: Solve for x
   x = 13,359,938.77/2,298.38
6. Step 6: Final answer
   x = 5,812.78