Finding the Third Proportional to 30,864 and 49,062

Step by Step Solution

1. Step 1: Write the proportion equation
   30,864 : 49,062 = 49,062 : x
2. Step 2: Convert to fraction form
   30,864/49,062 = 49,062/x
3. Step 3: Cross multiply
   30,864x = 49,062 × 49,062
4. Step 4: Simplify right side
   30,864x = 2,407,079,844
5. Step 5: Solve for x
   x = 2,407,079,844/30,864
6. Step 6: Final answer
   x = 77,989.89