Finding the Third Proportional to 16,128 and 34,192

Step by Step Solution

1. Step 1: Write the proportion equation
   16,128 : 34,192 = 34,192 : x
2. Step 2: Convert to fraction form
   16,128/34,192 = 34,192/x
3. Step 3: Cross multiply
   16,128x = 34,192 × 34,192
4. Step 4: Simplify right side
   16,128x = 1,169,092,864
5. Step 5: Solve for x
   x = 1,169,092,864/16,128
6. Step 6: Final answer
   x = 72,488.40