Finding the Third Proportional to 5,725 and 12,746

Step by Step Solution

1. Step 1: Write the proportion equation
   5,725 : 12,746 = 12,746 : x
2. Step 2: Convert to fraction form
   5,725/12,746 = 12,746/x
3. Step 3: Cross multiply
   5,725x = 12,746 × 12,746
4. Step 4: Simplify right side
   5,725x = 162,460,516
5. Step 5: Solve for x
   x = 162,460,516/5,725
6. Step 6: Final answer
   x = 28,377.38