Finding the Third Proportional to 27.75 and 43.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27.75 : 43.50 = 43.50 : x
2. Step 2: Convert to fraction form
   27.75/43.50 = 43.50/x
3. Step 3: Cross multiply
   27.75x = 43.50 × 43.50
4. Step 4: Simplify right side
   27.75x = 1,892.25
5. Step 5: Solve for x
   x = 1,892.25/27.75
6. Step 6: Final answer
   x = 68.19