Finding the Third Proportional to 5,538 and 10,632

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538 : 10,632 = 10,632 : x
2. Step 2: Convert to fraction form
   5,538/10,632 = 10,632/x
3. Step 3: Cross multiply
   5,538x = 10,632 × 10,632
4. Step 4: Simplify right side
   5,538x = 113,039,424
5. Step 5: Solve for x
   x = 113,039,424/5,538
6. Step 6: Final answer
   x = 20,411.60