Finding the Third Proportional to 30,948 and 72,311

Step by Step Solution

1. Step 1: Write the proportion equation
   30,948 : 72,311 = 72,311 : x
2. Step 2: Convert to fraction form
   30,948/72,311 = 72,311/x
3. Step 3: Cross multiply
   30,948x = 72,311 × 72,311
4. Step 4: Simplify right side
   30,948x = 5,228,880,721
5. Step 5: Solve for x
   x = 5,228,880,721/30,948
6. Step 6: Final answer
   x = 168,956.98