Finding the Third Proportional to 12,006 and 25,746

Step by Step Solution

1. Step 1: Write the proportion equation
   12,006 : 25,746 = 25,746 : x
2. Step 2: Convert to fraction form
   12,006/25,746 = 25,746/x
3. Step 3: Cross multiply
   12,006x = 25,746 × 25,746
4. Step 4: Simplify right side
   12,006x = 662,856,516
5. Step 5: Solve for x
   x = 662,856,516/12,006
6. Step 6: Final answer
   x = 55,210.44