Finding the Third Proportional to 20,880 and 31,838

Step by Step Solution

1. Step 1: Write the proportion equation
   20,880 : 31,838 = 31,838 : x
2. Step 2: Convert to fraction form
   20,880/31,838 = 31,838/x
3. Step 3: Cross multiply
   20,880x = 31,838 × 31,838
4. Step 4: Simplify right side
   20,880x = 1,013,658,244
5. Step 5: Solve for x
   x = 1,013,658,244/20,880
6. Step 6: Final answer
   x = 48,546.85