Finding the Third Proportional to 20,816 and 45,514

Step by Step Solution

1. Step 1: Write the proportion equation
   20,816 : 45,514 = 45,514 : x
2. Step 2: Convert to fraction form
   20,816/45,514 = 45,514/x
3. Step 3: Cross multiply
   20,816x = 45,514 × 45,514
4. Step 4: Simplify right side
   20,816x = 2,071,524,196
5. Step 5: Solve for x
   x = 2,071,524,196/20,816
6. Step 6: Final answer
   x = 99,515.96