Finding the Third Proportional to 2,406.38 and 5,158.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406.38 : 5,158.69 = 5,158.69 : x
2. Step 2: Convert to fraction form
   2,406.38/5,158.69 = 5,158.69/x
3. Step 3: Cross multiply
   2,406.38x = 5,158.69 × 5,158.69
4. Step 4: Simplify right side
   2,406.38x = 26,612,056.72
5. Step 5: Solve for x
   x = 26,612,056.72/2,406.38
6. Step 6: Final answer
   x = 11,058.98