Finding the Third Proportional to 16,194 and 34,872

Step by Step Solution

1. Step 1: Write the proportion equation
   16,194 : 34,872 = 34,872 : x
2. Step 2: Convert to fraction form
   16,194/34,872 = 34,872/x
3. Step 3: Cross multiply
   16,194x = 34,872 × 34,872
4. Step 4: Simplify right side
   16,194x = 1,216,056,384
5. Step 5: Solve for x
   x = 1,216,056,384/16,194
6. Step 6: Final answer
   x = 75,093.02