Finding the Third Proportional to 36.81 and 56.56

Step by Step Solution

1. Step 1: Write the proportion equation
   36.81 : 56.56 = 56.56 : x
2. Step 2: Convert to fraction form
   36.81/56.56 = 56.56/x
3. Step 3: Cross multiply
   36.81x = 56.56 × 56.56
4. Step 4: Simplify right side
   36.81x = 3,199.32
5. Step 5: Solve for x
   x = 3,199.32/36.81
6. Step 6: Final answer
   x = 86.91