Finding the Third Proportional to 30,235 and 57,802

Step by Step Solution

1. Step 1: Write the proportion equation
   30,235 : 57,802 = 57,802 : x
2. Step 2: Convert to fraction form
   30,235/57,802 = 57,802/x
3. Step 3: Cross multiply
   30,235x = 57,802 × 57,802
4. Step 4: Simplify right side
   30,235x = 3,341,071,204
5. Step 5: Solve for x
   x = 3,341,071,204/30,235
6. Step 6: Final answer
   x = 110,503.43