Finding the Third Proportional to 22.63 and 32.38

Step by Step Solution

1. Step 1: Write the proportion equation
   22.63 : 32.38 = 32.38 : x
2. Step 2: Convert to fraction form
   22.63/32.38 = 32.38/x
3. Step 3: Cross multiply
   22.63x = 32.38 × 32.38
4. Step 4: Simplify right side
   22.63x = 1,048.14
5. Step 5: Solve for x
   x = 1,048.14/22.63
6. Step 6: Final answer
   x = 46.33