Finding the Third Proportional to 8,122 and 17,632

Step by Step Solution

1. Step 1: Write the proportion equation
   8,122 : 17,632 = 17,632 : x
2. Step 2: Convert to fraction form
   8,122/17,632 = 17,632/x
3. Step 3: Cross multiply
   8,122x = 17,632 × 17,632
4. Step 4: Simplify right side
   8,122x = 310,887,424
5. Step 5: Solve for x
   x = 310,887,424/8,122
6. Step 6: Final answer
   x = 38,277.20