Finding the Third Proportional to 4,114.13 and 8,521.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,114.13 : 8,521.88 = 8,521.88 : x
2. Step 2: Convert to fraction form
   4,114.13/8,521.88 = 8,521.88/x
3. Step 3: Cross multiply
   4,114.13x = 8,521.88 × 8,521.88
4. Step 4: Simplify right side
   4,114.13x = 72,622,353.52
5. Step 5: Solve for x
   x = 72,622,353.52/4,114.13
6. Step 6: Final answer
   x = 17,651.96