Finding the Third Proportional to 27.48 and 40.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27.48 : 40.50 = 40.50 : x
2. Step 2: Convert to fraction form
   27.48/40.50 = 40.50/x
3. Step 3: Cross multiply
   27.48x = 40.50 × 40.50
4. Step 4: Simplify right side
   27.48x = 1,639.89
5. Step 5: Solve for x
   x = 1,639.89/27.48
6. Step 6: Final answer
   x = 59.68