Finding the Third Proportional to 30,800 and 71,858

Step by Step Solution

1. Step 1: Write the proportion equation
   30,800 : 71,858 = 71,858 : x
2. Step 2: Convert to fraction form
   30,800/71,858 = 71,858/x
3. Step 3: Cross multiply
   30,800x = 71,858 × 71,858
4. Step 4: Simplify right side
   30,800x = 5,163,572,164
5. Step 5: Solve for x
   x = 5,163,572,164/30,800
6. Step 6: Final answer
   x = 167,648.45