Finding the Third Proportional to 32,004 and 49,192

Step by Step Solution

1. Step 1: Write the proportion equation
   32,004 : 49,192 = 49,192 : x
2. Step 2: Convert to fraction form
   32,004/49,192 = 49,192/x
3. Step 3: Cross multiply
   32,004x = 49,192 × 49,192
4. Step 4: Simplify right side
   32,004x = 2,419,852,864
5. Step 5: Solve for x
   x = 2,419,852,864/32,004
6. Step 6: Final answer
   x = 75,610.95