Finding the Third Proportional to 21.83 and 32.12

Step by Step Solution

1. Step 1: Write the proportion equation
   21.83 : 32.12 = 32.12 : x
2. Step 2: Convert to fraction form
   21.83/32.12 = 32.12/x
3. Step 3: Cross multiply
   21.83x = 32.12 × 32.12
4. Step 4: Simplify right side
   21.83x = 1,031.39
5. Step 5: Solve for x
   x = 1,031.39/21.83
6. Step 6: Final answer
   x = 47.24