Finding the Third Proportional to 11,146 and 12,778

Step by Step Solution

1. Step 1: Write the proportion equation
   11,146 : 12,778 = 12,778 : x
2. Step 2: Convert to fraction form
   11,146/12,778 = 12,778/x
3. Step 3: Cross multiply
   11,146x = 12,778 × 12,778
4. Step 4: Simplify right side
   11,146x = 163,277,284
5. Step 5: Solve for x
   x = 163,277,284/11,146
6. Step 6: Final answer
   x = 14,648.96