Finding the Third Proportional to 10,640 and 16,716

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640 : 16,716 = 16,716 : x
2. Step 2: Convert to fraction form
   10,640/16,716 = 16,716/x
3. Step 3: Cross multiply
   10,640x = 16,716 × 16,716
4. Step 4: Simplify right side
   10,640x = 279,424,656
5. Step 5: Solve for x
   x = 279,424,656/10,640
6. Step 6: Final answer
   x = 26,261.72