Finding the Third Proportional to 20,780 and 45,016

Step by Step Solution

1. Step 1: Write the proportion equation
   20,780 : 45,016 = 45,016 : x
2. Step 2: Convert to fraction form
   20,780/45,016 = 45,016/x
3. Step 3: Cross multiply
   20,780x = 45,016 × 45,016
4. Step 4: Simplify right side
   20,780x = 2,026,440,256
5. Step 5: Solve for x
   x = 2,026,440,256/20,780
6. Step 6: Final answer
   x = 97,518.78