Finding the Third Proportional to 20,920 and 45,996

Step by Step Solution

1. Step 1: Write the proportion equation
   20,920 : 45,996 = 45,996 : x
2. Step 2: Convert to fraction form
   20,920/45,996 = 45,996/x
3. Step 3: Cross multiply
   20,920x = 45,996 × 45,996
4. Step 4: Simplify right side
   20,920x = 2,115,632,016
5. Step 5: Solve for x
   x = 2,115,632,016/20,920
6. Step 6: Final answer
   x = 101,129.64