Finding the Third Proportional to 5,782 and 13,610

Step by Step Solution

1. Step 1: Write the proportion equation
   5,782 : 13,610 = 13,610 : x
2. Step 2: Convert to fraction form
   5,782/13,610 = 13,610/x
3. Step 3: Cross multiply
   5,782x = 13,610 × 13,610
4. Step 4: Simplify right side
   5,782x = 185,232,100
5. Step 5: Solve for x
   x = 185,232,100/5,782
6. Step 6: Final answer
   x = 32,035.99