Finding the Third Proportional to 5,826 and 12,342

Step by Step Solution

1. Step 1: Write the proportion equation
   5,826 : 12,342 = 12,342 : x
2. Step 2: Convert to fraction form
   5,826/12,342 = 12,342/x
3. Step 3: Cross multiply
   5,826x = 12,342 × 12,342
4. Step 4: Simplify right side
   5,826x = 152,324,964
5. Step 5: Solve for x
   x = 152,324,964/5,826
6. Step 6: Final answer
   x = 26,145.72