Finding the Third Proportional to 8,128.50 and 10,977.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,128.50 : 10,977.75 = 10,977.75 : x
2. Step 2: Convert to fraction form
   8,128.50/10,977.75 = 10,977.75/x
3. Step 3: Cross multiply
   8,128.50x = 10,977.75 × 10,977.75
4. Step 4: Simplify right side
   8,128.50x = 120,510,995.06
5. Step 5: Solve for x
   x = 120,510,995.06/8,128.50
6. Step 6: Final answer
   x = 14,825.74