Finding the Third Proportional to 5,764 and 12,632

Step by Step Solution

1. Step 1: Write the proportion equation
   5,764 : 12,632 = 12,632 : x
2. Step 2: Convert to fraction form
   5,764/12,632 = 12,632/x
3. Step 3: Cross multiply
   5,764x = 12,632 × 12,632
4. Step 4: Simplify right side
   5,764x = 159,567,424
5. Step 5: Solve for x
   x = 159,567,424/5,764
6. Step 6: Final answer
   x = 27,683.45