Finding the Third Proportional to 6,442.31 and 9,190.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,442.31 : 9,190.69 = 9,190.69 : x
2. Step 2: Convert to fraction form
   6,442.31/9,190.69 = 9,190.69/x
3. Step 3: Cross multiply
   6,442.31x = 9,190.69 × 9,190.69
4. Step 4: Simplify right side
   6,442.31x = 84,468,736.72
5. Step 5: Solve for x
   x = 84,468,736.72/6,442.31
6. Step 6: Final answer
   x = 13,111.56