Finding the Third Proportional to 5,096.83 and 7,177.52

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.83 : 7,177.52 = 7,177.52 : x
2. Step 2: Convert to fraction form
   5,096.83/7,177.52 = 7,177.52/x
3. Step 3: Cross multiply
   5,096.83x = 7,177.52 × 7,177.52
4. Step 4: Simplify right side
   5,096.83x = 51,516,758.58
5. Step 5: Solve for x
   x = 51,516,758.58/5,096.83
6. Step 6: Final answer
   x = 10,107.61