Finding the Third Proportional to 2,654 and 5,746

Step by Step Solution

1. Step 1: Write the proportion equation
   2,654 : 5,746 = 5,746 : x
2. Step 2: Convert to fraction form
   2,654/5,746 = 5,746/x
3. Step 3: Cross multiply
   2,654x = 5,746 × 5,746
4. Step 4: Simplify right side
   2,654x = 33,016,516
5. Step 5: Solve for x
   x = 33,016,516/2,654
6. Step 6: Final answer
   x = 12,440.28