Finding the Third Proportional to 8,857 and 13,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,857 : 13,114.50 = 13,114.50 : x
2. Step 2: Convert to fraction form
   8,857/13,114.50 = 13,114.50/x
3. Step 3: Cross multiply
   8,857x = 13,114.50 × 13,114.50
4. Step 4: Simplify right side
   8,857x = 171,990,110.25
5. Step 5: Solve for x
   x = 171,990,110.25/8,857
6. Step 6: Final answer
   x = 19,418.55