Finding the Third Proportional to 10,778 and 16,746

Step by Step Solution

1. Step 1: Write the proportion equation
   10,778 : 16,746 = 16,746 : x
2. Step 2: Convert to fraction form
   10,778/16,746 = 16,746/x
3. Step 3: Cross multiply
   10,778x = 16,746 × 16,746
4. Step 4: Simplify right side
   10,778x = 280,428,516
5. Step 5: Solve for x
   x = 280,428,516/10,778
6. Step 6: Final answer
   x = 26,018.60