Finding the Third Proportional to 21,621 and 47,238

Step by Step Solution

1. Step 1: Write the proportion equation
   21,621 : 47,238 = 47,238 : x
2. Step 2: Convert to fraction form
   21,621/47,238 = 47,238/x
3. Step 3: Cross multiply
   21,621x = 47,238 × 47,238
4. Step 4: Simplify right side
   21,621x = 2,231,428,644
5. Step 5: Solve for x
   x = 2,231,428,644/21,621
6. Step 6: Final answer
   x = 103,206.54