Finding the Third Proportional to 20,638 and 31,156

Step by Step Solution

1. Step 1: Write the proportion equation
   20,638 : 31,156 = 31,156 : x
2. Step 2: Convert to fraction form
   20,638/31,156 = 31,156/x
3. Step 3: Cross multiply
   20,638x = 31,156 × 31,156
4. Step 4: Simplify right side
   20,638x = 970,696,336
5. Step 5: Solve for x
   x = 970,696,336/20,638
6. Step 6: Final answer
   x = 47,034.42