Finding the Third Proportional to 30,818 and 71,906

Step by Step Solution

1. Step 1: Write the proportion equation
   30,818 : 71,906 = 71,906 : x
2. Step 2: Convert to fraction form
   30,818/71,906 = 71,906/x
3. Step 3: Cross multiply
   30,818x = 71,906 × 71,906
4. Step 4: Simplify right side
   30,818x = 5,170,472,836
5. Step 5: Solve for x
   x = 5,170,472,836/30,818
6. Step 6: Final answer
   x = 167,774.44