Finding the Third Proportional to 6,024 and 10,746

Step by Step Solution

1. Step 1: Write the proportion equation
   6,024 : 10,746 = 10,746 : x
2. Step 2: Convert to fraction form
   6,024/10,746 = 10,746/x
3. Step 3: Cross multiply
   6,024x = 10,746 × 10,746
4. Step 4: Simplify right side
   6,024x = 115,476,516
5. Step 5: Solve for x
   x = 115,476,516/6,024
6. Step 6: Final answer
   x = 19,169.41