Finding the Third Proportional to 10,746 and 16,830

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746 : 16,830 = 16,830 : x
2. Step 2: Convert to fraction form
   10,746/16,830 = 16,830/x
3. Step 3: Cross multiply
   10,746x = 16,830 × 16,830
4. Step 4: Simplify right side
   10,746x = 283,248,900
5. Step 5: Solve for x
   x = 283,248,900/10,746
6. Step 6: Final answer
   x = 26,358.54