Finding the Third Proportional to 27.38 and 46.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27.38 : 46.50 = 46.50 : x
2. Step 2: Convert to fraction form
   27.38/46.50 = 46.50/x
3. Step 3: Cross multiply
   27.38x = 46.50 × 46.50
4. Step 4: Simplify right side
   27.38x = 2,162.25
5. Step 5: Solve for x
   x = 2,162.25/27.38
6. Step 6: Final answer
   x = 78.99