Finding the Third Proportional to 21,424 and 45,845

Step by Step Solution

1. Step 1: Write the proportion equation
   21,424 : 45,845 = 45,845 : x
2. Step 2: Convert to fraction form
   21,424/45,845 = 45,845/x
3. Step 3: Cross multiply
   21,424x = 45,845 × 45,845
4. Step 4: Simplify right side
   21,424x = 2,101,764,025
5. Step 5: Solve for x
   x = 2,101,764,025/21,424
6. Step 6: Final answer
   x = 98,103.25