Finding the Third Proportional to 20,391 and 31,514

Step by Step Solution

1. Step 1: Write the proportion equation
   20,391 : 31,514 = 31,514 : x
2. Step 2: Convert to fraction form
   20,391/31,514 = 31,514/x
3. Step 3: Cross multiply
   20,391x = 31,514 × 31,514
4. Step 4: Simplify right side
   20,391x = 993,132,196
5. Step 5: Solve for x
   x = 993,132,196/20,391
6. Step 6: Final answer
   x = 48,704.44