Finding the Third Proportional to 4,222.13 and 6,498.56

Step by Step Solution

1. Step 1: Write the proportion equation
   4,222.13 : 6,498.56 = 6,498.56 : x
2. Step 2: Convert to fraction form
   4,222.13/6,498.56 = 6,498.56/x
3. Step 3: Cross multiply
   4,222.13x = 6,498.56 × 6,498.56
4. Step 4: Simplify right side
   4,222.13x = 42,231,314.57
5. Step 5: Solve for x
   x = 42,231,314.57/4,222.13
6. Step 6: Final answer
   x = 10,002.38