Finding the Third Proportional to 4,002.19 and 5,899.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,002.19 : 5,899.78 = 5,899.78 : x
2. Step 2: Convert to fraction form
   4,002.19/5,899.78 = 5,899.78/x
3. Step 3: Cross multiply
   4,002.19x = 5,899.78 × 5,899.78
4. Step 4: Simplify right side
   4,002.19x = 34,807,418.80
5. Step 5: Solve for x
   x = 34,807,418.80/4,002.19
6. Step 6: Final answer
   x = 8,697.10