Finding the Third Proportional to 8,077 and 17,132

Step by Step Solution

1. Step 1: Write the proportion equation
   8,077 : 17,132 = 17,132 : x
2. Step 2: Convert to fraction form
   8,077/17,132 = 17,132/x
3. Step 3: Cross multiply
   8,077x = 17,132 × 17,132
4. Step 4: Simplify right side
   8,077x = 293,505,424
5. Step 5: Solve for x
   x = 293,505,424/8,077
6. Step 6: Final answer
   x = 36,338.42