Finding the Third Proportional to 6,145.88 and 8,442.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,145.88 : 8,442.56 = 8,442.56 : x
2. Step 2: Convert to fraction form
   6,145.88/8,442.56 = 8,442.56/x
3. Step 3: Cross multiply
   6,145.88x = 8,442.56 × 8,442.56
4. Step 4: Simplify right side
   6,145.88x = 71,276,861.57
5. Step 5: Solve for x
   x = 71,276,861.57/6,145.88
6. Step 6: Final answer
   x = 11,597.51