Finding the Third Proportional to 6,842 and 10,615

Step by Step Solution

1. Step 1: Write the proportion equation
   6,842 : 10,615 = 10,615 : x
2. Step 2: Convert to fraction form
   6,842/10,615 = 10,615/x
3. Step 3: Cross multiply
   6,842x = 10,615 × 10,615
4. Step 4: Simplify right side
   6,842x = 112,678,225
5. Step 5: Solve for x
   x = 112,678,225/6,842
6. Step 6: Final answer
   x = 16,468.61