Finding the Third Proportional to 21,357 and 45,462

Step by Step Solution

1. Step 1: Write the proportion equation
   21,357 : 45,462 = 45,462 : x
2. Step 2: Convert to fraction form
   21,357/45,462 = 45,462/x
3. Step 3: Cross multiply
   21,357x = 45,462 × 45,462
4. Step 4: Simplify right side
   21,357x = 2,066,793,444
5. Step 5: Solve for x
   x = 2,066,793,444/21,357
6. Step 6: Final answer
   x = 96,773.58