Finding the Third Proportional to 21,662 and 47,242

Step by Step Solution

1. Step 1: Write the proportion equation
   21,662 : 47,242 = 47,242 : x
2. Step 2: Convert to fraction form
   21,662/47,242 = 47,242/x
3. Step 3: Cross multiply
   21,662x = 47,242 × 47,242
4. Step 4: Simplify right side
   21,662x = 2,231,806,564
5. Step 5: Solve for x
   x = 2,231,806,564/21,662
6. Step 6: Final answer
   x = 103,028.65