Finding the Third Proportional to 5,746 and 10,916

Step by Step Solution

1. Step 1: Write the proportion equation
   5,746 : 10,916 = 10,916 : x
2. Step 2: Convert to fraction form
   5,746/10,916 = 10,916/x
3. Step 3: Cross multiply
   5,746x = 10,916 × 10,916
4. Step 4: Simplify right side
   5,746x = 119,159,056
5. Step 5: Solve for x
   x = 119,159,056/5,746
6. Step 6: Final answer
   x = 20,737.74