Finding the Third Proportional to 5,538.38 and 8,093.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538.38 : 8,093.25 = 8,093.25 : x
2. Step 2: Convert to fraction form
   5,538.38/8,093.25 = 8,093.25/x
3. Step 3: Cross multiply
   5,538.38x = 8,093.25 × 8,093.25
4. Step 4: Simplify right side
   5,538.38x = 65,500,695.56
5. Step 5: Solve for x
   x = 65,500,695.56/5,538.38
6. Step 6: Final answer
   x = 11,826.70