Finding the Third Proportional to 20,920 and 31,864

Step by Step Solution

1. Step 1: Write the proportion equation
   20,920 : 31,864 = 31,864 : x
2. Step 2: Convert to fraction form
   20,920/31,864 = 31,864/x
3. Step 3: Cross multiply
   20,920x = 31,864 × 31,864
4. Step 4: Simplify right side
   20,920x = 1,015,314,496
5. Step 5: Solve for x
   x = 1,015,314,496/20,920
6. Step 6: Final answer
   x = 48,533.20