Finding the Third Proportional to 5,122.22 and 7,719.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,122.22 : 7,719.38 = 7,719.38 : x
2. Step 2: Convert to fraction form
   5,122.22/7,719.38 = 7,719.38/x
3. Step 3: Cross multiply
   5,122.22x = 7,719.38 × 7,719.38
4. Step 4: Simplify right side
   5,122.22x = 59,588,750.39
5. Step 5: Solve for x
   x = 59,588,750.39/5,122.22
6. Step 6: Final answer
   x = 11,633.39