Finding the Third Proportional to 7,142 and 10,815

Step by Step Solution

1. Step 1: Write the proportion equation
   7,142 : 10,815 = 10,815 : x
2. Step 2: Convert to fraction form
   7,142/10,815 = 10,815/x
3. Step 3: Cross multiply
   7,142x = 10,815 × 10,815
4. Step 4: Simplify right side
   7,142x = 116,964,225
5. Step 5: Solve for x
   x = 116,964,225/7,142
6. Step 6: Final answer
   x = 16,376.96