Finding the Third Proportional to 21,662 and 46,548

Step by Step Solution

1. Step 1: Write the proportion equation
   21,662 : 46,548 = 46,548 : x
2. Step 2: Convert to fraction form
   21,662/46,548 = 46,548/x
3. Step 3: Cross multiply
   21,662x = 46,548 × 46,548
4. Step 4: Simplify right side
   21,662x = 2,166,716,304
5. Step 5: Solve for x
   x = 2,166,716,304/21,662
6. Step 6: Final answer
   x = 100,023.83