Finding the Third Proportional to 2,398.50 and 5,174.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,398.50 : 5,174.94 = 5,174.94 : x
2. Step 2: Convert to fraction form
   2,398.50/5,174.94 = 5,174.94/x
3. Step 3: Cross multiply
   2,398.50x = 5,174.94 × 5,174.94
4. Step 4: Simplify right side
   2,398.50x = 26,779,978.13
5. Step 5: Solve for x
   x = 26,779,978.13/2,398.50
6. Step 6: Final answer
   x = 11,165.30