Finding the Third Proportional to 8,132 and 17,719

Step by Step Solution

1. Step 1: Write the proportion equation
   8,132 : 17,719 = 17,719 : x
2. Step 2: Convert to fraction form
   8,132/17,719 = 17,719/x
3. Step 3: Cross multiply
   8,132x = 17,719 × 17,719
4. Step 4: Simplify right side
   8,132x = 313,962,961
5. Step 5: Solve for x
   x = 313,962,961/8,132
6. Step 6: Final answer
   x = 38,608.33