Finding the Third Proportional to 5,746 and 10,610

Step by Step Solution

1. Step 1: Write the proportion equation
   5,746 : 10,610 = 10,610 : x
2. Step 2: Convert to fraction form
   5,746/10,610 = 10,610/x
3. Step 3: Cross multiply
   5,746x = 10,610 × 10,610
4. Step 4: Simplify right side
   5,746x = 112,572,100
5. Step 5: Solve for x
   x = 112,572,100/5,746
6. Step 6: Final answer
   x = 19,591.39