Finding the Third Proportional to 30,802 and 49,028

Step by Step Solution

1. Step 1: Write the proportion equation
   30,802 : 49,028 = 49,028 : x
2. Step 2: Convert to fraction form
   30,802/49,028 = 49,028/x
3. Step 3: Cross multiply
   30,802x = 49,028 × 49,028
4. Step 4: Simplify right side
   30,802x = 2,403,744,784
5. Step 5: Solve for x
   x = 2,403,744,784/30,802
6. Step 6: Final answer
   x = 78,038.59