Finding the Third Proportional to 21.94 and 32.10

Step by Step Solution

1. Step 1: Write the proportion equation
   21.94 : 32.10 = 32.10 : x
2. Step 2: Convert to fraction form
   21.94/32.10 = 32.10/x
3. Step 3: Cross multiply
   21.94x = 32.10 × 32.10
4. Step 4: Simplify right side
   21.94x = 1,030.61
5. Step 5: Solve for x
   x = 1,030.61/21.94
6. Step 6: Final answer
   x = 46.98