Finding the Third Proportional to 7,832 and 10,900

Step by Step Solution

1. Step 1: Write the proportion equation
   7,832 : 10,900 = 10,900 : x
2. Step 2: Convert to fraction form
   7,832/10,900 = 10,900/x
3. Step 3: Cross multiply
   7,832x = 10,900 × 10,900
4. Step 4: Simplify right side
   7,832x = 118,810,000
5. Step 5: Solve for x
   x = 118,810,000/7,832
6. Step 6: Final answer
   x = 15,169.82