Finding the Third Proportional to 20,448 and 31,592

Step by Step Solution

1. Step 1: Write the proportion equation
   20,448 : 31,592 = 31,592 : x
2. Step 2: Convert to fraction form
   20,448/31,592 = 31,592/x
3. Step 3: Cross multiply
   20,448x = 31,592 × 31,592
4. Step 4: Simplify right side
   20,448x = 998,054,464
5. Step 5: Solve for x
   x = 998,054,464/20,448
6. Step 6: Final answer
   x = 48,809.39