Finding the Third Proportional to 6,585 and 10,089

Step by Step Solution

1. Step 1: Write the proportion equation
   6,585 : 10,089 = 10,089 : x
2. Step 2: Convert to fraction form
   6,585/10,089 = 10,089/x
3. Step 3: Cross multiply
   6,585x = 10,089 × 10,089
4. Step 4: Simplify right side
   6,585x = 101,787,921
5. Step 5: Solve for x
   x = 101,787,921/6,585
6. Step 6: Final answer
   x = 15,457.54