Finding the Third Proportional to 4,209.75 and 10,168.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,209.75 : 10,168.88 = 10,168.88 : x
2. Step 2: Convert to fraction form
   4,209.75/10,168.88 = 10,168.88/x
3. Step 3: Cross multiply
   4,209.75x = 10,168.88 × 10,168.88
4. Step 4: Simplify right side
   4,209.75x = 103,406,018.77
5. Step 5: Solve for x
   x = 103,406,018.77/4,209.75
6. Step 6: Final answer
   x = 24,563.46