Finding the Third Proportional to 27.56 and 37.69

Step by Step Solution

1. Step 1: Write the proportion equation
   27.56 : 37.69 = 37.69 : x
2. Step 2: Convert to fraction form
   27.56/37.69 = 37.69/x
3. Step 3: Cross multiply
   27.56x = 37.69 × 37.69
4. Step 4: Simplify right side
   27.56x = 1,420.35
5. Step 5: Solve for x
   x = 1,420.35/27.56
6. Step 6: Final answer
   x = 51.53