Finding the Third Proportional to 2,357.86 and 5,177.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,357.86 : 5,177.04 = 5,177.04 : x
2. Step 2: Convert to fraction form
   2,357.86/5,177.04 = 5,177.04/x
3. Step 3: Cross multiply
   2,357.86x = 5,177.04 × 5,177.04
4. Step 4: Simplify right side
   2,357.86x = 26,801,733.45
5. Step 5: Solve for x
   x = 26,801,733.45/2,357.86
6. Step 6: Final answer
   x = 11,366.98