Finding the Third Proportional to 37.78 and 78.94

Step by Step Solution

1. Step 1: Write the proportion equation
   37.78 : 78.94 = 78.94 : x
2. Step 2: Convert to fraction form
   37.78/78.94 = 78.94/x
3. Step 3: Cross multiply
   37.78x = 78.94 × 78.94
4. Step 4: Simplify right side
   37.78x = 6,231.13
5. Step 5: Solve for x
   x = 6,231.13/37.78
6. Step 6: Final answer
   x = 164.93