Finding the Third Proportional to 6,585 and 14,404

Step by Step Solution

1. Step 1: Write the proportion equation
   6,585 : 14,404 = 14,404 : x
2. Step 2: Convert to fraction form
   6,585/14,404 = 14,404/x
3. Step 3: Cross multiply
   6,585x = 14,404 × 14,404
4. Step 4: Simplify right side
   6,585x = 207,475,216
5. Step 5: Solve for x
   x = 207,475,216/6,585
6. Step 6: Final answer
   x = 31,507.25