Finding the Third Proportional to 32,048 and 49,287

Step by Step Solution

1. Step 1: Write the proportion equation
   32,048 : 49,287 = 49,287 : x
2. Step 2: Convert to fraction form
   32,048/49,287 = 49,287/x
3. Step 3: Cross multiply
   32,048x = 49,287 × 49,287
4. Step 4: Simplify right side
   32,048x = 2,429,208,369
5. Step 5: Solve for x
   x = 2,429,208,369/32,048
6. Step 6: Final answer
   x = 75,799.06