Finding the Third Proportional to 5,826 and 13,845

Step by Step Solution

1. Step 1: Write the proportion equation
   5,826 : 13,845 = 13,845 : x
2. Step 2: Convert to fraction form
   5,826/13,845 = 13,845/x
3. Step 3: Cross multiply
   5,826x = 13,845 × 13,845
4. Step 4: Simplify right side
   5,826x = 191,684,025
5. Step 5: Solve for x
   x = 191,684,025/5,826
6. Step 6: Final answer
   x = 32,901.48