Finding the Third Proportional to 16,166 and 34,882

Step by Step Solution

1. Step 1: Write the proportion equation
   16,166 : 34,882 = 34,882 : x
2. Step 2: Convert to fraction form
   16,166/34,882 = 34,882/x
3. Step 3: Cross multiply
   16,166x = 34,882 × 34,882
4. Step 4: Simplify right side
   16,166x = 1,216,753,924
5. Step 5: Solve for x
   x = 1,216,753,924/16,166
6. Step 6: Final answer
   x = 75,266.23