Finding the Third Proportional to 5,632 and 12,164

Step by Step Solution

1. Step 1: Write the proportion equation
   5,632 : 12,164 = 12,164 : x
2. Step 2: Convert to fraction form
   5,632/12,164 = 12,164/x
3. Step 3: Cross multiply
   5,632x = 12,164 × 12,164
4. Step 4: Simplify right side
   5,632x = 147,962,896
5. Step 5: Solve for x
   x = 147,962,896/5,632
6. Step 6: Final answer
   x = 26,271.82