Finding the Third Proportional to 37.55 and 77.34

Step by Step Solution

1. Step 1: Write the proportion equation
   37.55 : 77.34 = 77.34 : x
2. Step 2: Convert to fraction form
   37.55/77.34 = 77.34/x
3. Step 3: Cross multiply
   37.55x = 77.34 × 77.34
4. Step 4: Simplify right side
   37.55x = 5,982.06
5. Step 5: Solve for x
   x = 5,982.06/37.55
6. Step 6: Final answer
   x = 159.32