Finding the Third Proportional to 16,182 and 34,967

Step by Step Solution

1. Step 1: Write the proportion equation
   16,182 : 34,967 = 34,967 : x
2. Step 2: Convert to fraction form
   16,182/34,967 = 34,967/x
3. Step 3: Cross multiply
   16,182x = 34,967 × 34,967
4. Step 4: Simplify right side
   16,182x = 1,222,691,089
5. Step 5: Solve for x
   x = 1,222,691,089/16,182
6. Step 6: Final answer
   x = 75,558.71