Finding the Third Proportional to 2,298.38 and 5,005.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,298.38 : 5,005.97 = 5,005.97 : x
2. Step 2: Convert to fraction form
   2,298.38/5,005.97 = 5,005.97/x
3. Step 3: Cross multiply
   2,298.38x = 5,005.97 × 5,005.97
4. Step 4: Simplify right side
   2,298.38x = 25,059,723.13
5. Step 5: Solve for x
   x = 25,059,723.13/2,298.38
6. Step 6: Final answer
   x = 10,903.24