Finding the Third Proportional to 2,876 and 7,784

Step by Step Solution

1. Step 1: Write the proportion equation
   2,876 : 7,784 = 7,784 : x
2. Step 2: Convert to fraction form
   2,876/7,784 = 7,784/x
3. Step 3: Cross multiply
   2,876x = 7,784 × 7,784
4. Step 4: Simplify right side
   2,876x = 60,590,656
5. Step 5: Solve for x
   x = 60,590,656/2,876
6. Step 6: Final answer
   x = 21,067.68