Finding the Third Proportional to 8,128 and 10,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,128 : 10,894.50 = 10,894.50 : x
2. Step 2: Convert to fraction form
   8,128/10,894.50 = 10,894.50/x
3. Step 3: Cross multiply
   8,128x = 10,894.50 × 10,894.50
4. Step 4: Simplify right side
   8,128x = 118,690,130.25
5. Step 5: Solve for x
   x = 118,690,130.25/8,128
6. Step 6: Final answer
   x = 14,602.62