Finding the Third Proportional to 5,097.42 and 7,178.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,097.42 : 7,178.20 = 7,178.20 : x
2. Step 2: Convert to fraction form
   5,097.42/7,178.20 = 7,178.20/x
3. Step 3: Cross multiply
   5,097.42x = 7,178.20 × 7,178.20
4. Step 4: Simplify right side
   5,097.42x = 51,526,600.10
5. Step 5: Solve for x
   x = 51,526,600.10/5,097.42
6. Step 6: Final answer
   x = 10,108.36