Finding the Third Proportional to 30,896 and 49,112

Step by Step Solution

1. Step 1: Write the proportion equation
   30,896 : 49,112 = 49,112 : x
2. Step 2: Convert to fraction form
   30,896/49,112 = 49,112/x
3. Step 3: Cross multiply
   30,896x = 49,112 × 49,112
4. Step 4: Simplify right side
   30,896x = 2,411,988,544
5. Step 5: Solve for x
   x = 2,411,988,544/30,896
6. Step 6: Final answer
   x = 78,067.99