Finding the Third Proportional to 20,174 and 31,934

Step by Step Solution

1. Step 1: Write the proportion equation
   20,174 : 31,934 = 31,934 : x
2. Step 2: Convert to fraction form
   20,174/31,934 = 31,934/x
3. Step 3: Cross multiply
   20,174x = 31,934 × 31,934
4. Step 4: Simplify right side
   20,174x = 1,019,780,356
5. Step 5: Solve for x
   x = 1,019,780,356/20,174
6. Step 6: Final answer
   x = 50,549.24