Finding the Third Proportional to 30,224 and 49,948

Step by Step Solution

1. Step 1: Write the proportion equation
   30,224 : 49,948 = 49,948 : x
2. Step 2: Convert to fraction form
   30,224/49,948 = 49,948/x
3. Step 3: Cross multiply
   30,224x = 49,948 × 49,948
4. Step 4: Simplify right side
   30,224x = 2,494,802,704
5. Step 5: Solve for x
   x = 2,494,802,704/30,224
6. Step 6: Final answer
   x = 82,543.76