Finding the Third Proportional to 5,009 and 10,746

Step by Step Solution

1. Step 1: Write the proportion equation
   5,009 : 10,746 = 10,746 : x
2. Step 2: Convert to fraction form
   5,009/10,746 = 10,746/x
3. Step 3: Cross multiply
   5,009x = 10,746 × 10,746
4. Step 4: Simplify right side
   5,009x = 115,476,516
5. Step 5: Solve for x
   x = 115,476,516/5,009
6. Step 6: Final answer
   x = 23,053.81