Finding the Third Proportional to 21.75 and 35.94

Step by Step Solution

1. Step 1: Write the proportion equation
   21.75 : 35.94 = 35.94 : x
2. Step 2: Convert to fraction form
   21.75/35.94 = 35.94/x
3. Step 3: Cross multiply
   21.75x = 35.94 × 35.94
4. Step 4: Simplify right side
   21.75x = 1,291.50
5. Step 5: Solve for x
   x = 1,291.50/21.75
6. Step 6: Final answer
   x = 59.38