Finding the Third Proportional to 5,826 and 13,725

Step by Step Solution

1. Step 1: Write the proportion equation
   5,826 : 13,725 = 13,725 : x
2. Step 2: Convert to fraction form
   5,826/13,725 = 13,725/x
3. Step 3: Cross multiply
   5,826x = 13,725 × 13,725
4. Step 4: Simplify right side
   5,826x = 188,375,625
5. Step 5: Solve for x
   x = 188,375,625/5,826
6. Step 6: Final answer
   x = 32,333.61