Finding the Third Proportional to 36.56 and 78.56

Step by Step Solution

1. Step 1: Write the proportion equation
   36.56 : 78.56 = 78.56 : x
2. Step 2: Convert to fraction form
   36.56/78.56 = 78.56/x
3. Step 3: Cross multiply
   36.56x = 78.56 × 78.56
4. Step 4: Simplify right side
   36.56x = 6,172.07
5. Step 5: Solve for x
   x = 6,172.07/36.56
6. Step 6: Final answer
   x = 168.81