Finding the Third Proportional to 21,794 and 32,662

Step by Step Solution

1. Step 1: Write the proportion equation
   21,794 : 32,662 = 32,662 : x
2. Step 2: Convert to fraction form
   21,794/32,662 = 32,662/x
3. Step 3: Cross multiply
   21,794x = 32,662 × 32,662
4. Step 4: Simplify right side
   21,794x = 1,066,806,244
5. Step 5: Solve for x
   x = 1,066,806,244/21,794
6. Step 6: Final answer
   x = 48,949.54