Finding the Third Proportional to 20,648 and 45,407

Step by Step Solution

1. Step 1: Write the proportion equation
   20,648 : 45,407 = 45,407 : x
2. Step 2: Convert to fraction form
   20,648/45,407 = 45,407/x
3. Step 3: Cross multiply
   20,648x = 45,407 × 45,407
4. Step 4: Simplify right side
   20,648x = 2,061,795,649
5. Step 5: Solve for x
   x = 2,061,795,649/20,648
6. Step 6: Final answer
   x = 99,854.50