Finding the Third Proportional to 37.55 and 78.79

Step by Step Solution

1. Step 1: Write the proportion equation
   37.55 : 78.79 = 78.79 : x
2. Step 2: Convert to fraction form
   37.55/78.79 = 78.79/x
3. Step 3: Cross multiply
   37.55x = 78.79 × 78.79
4. Step 4: Simplify right side
   37.55x = 6,207.10
5. Step 5: Solve for x
   x = 6,207.10/37.55
6. Step 6: Final answer
   x = 165.32