Finding the Third Proportional to 2,864 and 7,736

Step by Step Solution

1. Step 1: Write the proportion equation
   2,864 : 7,736 = 7,736 : x
2. Step 2: Convert to fraction form
   2,864/7,736 = 7,736/x
3. Step 3: Cross multiply
   2,864x = 7,736 × 7,736
4. Step 4: Simplify right side
   2,864x = 59,845,696
5. Step 5: Solve for x
   x = 59,845,696/2,864
6. Step 6: Final answer
   x = 20,895.84