Finding the Third Proportional to 7,857 and 10,812

Step by Step Solution

1. Step 1: Write the proportion equation
   7,857 : 10,812 = 10,812 : x
2. Step 2: Convert to fraction form
   7,857/10,812 = 10,812/x
3. Step 3: Cross multiply
   7,857x = 10,812 × 10,812
4. Step 4: Simplify right side
   7,857x = 116,899,344
5. Step 5: Solve for x
   x = 116,899,344/7,857
6. Step 6: Final answer
   x = 14,878.37