Finding the Third Proportional to 20,464 and 31,595

Step by Step Solution

1. Step 1: Write the proportion equation
   20,464 : 31,595 = 31,595 : x
2. Step 2: Convert to fraction form
   20,464/31,595 = 31,595/x
3. Step 3: Cross multiply
   20,464x = 31,595 × 31,595
4. Step 4: Simplify right side
   20,464x = 998,244,025
5. Step 5: Solve for x
   x = 998,244,025/20,464
6. Step 6: Final answer
   x = 48,780.49