Finding the Third Proportional to 31,048 and 49,184

Step by Step Solution

1. Step 1: Write the proportion equation
   31,048 : 49,184 = 49,184 : x
2. Step 2: Convert to fraction form
   31,048/49,184 = 49,184/x
3. Step 3: Cross multiply
   31,048x = 49,184 × 49,184
4. Step 4: Simplify right side
   31,048x = 2,419,065,856
5. Step 5: Solve for x
   x = 2,419,065,856/31,048
6. Step 6: Final answer
   x = 77,913.74