Finding the Third Proportional to 43.64 and 77.42

Step by Step Solution

1. Step 1: Write the proportion equation
   43.64 : 77.42 = 77.42 : x
2. Step 2: Convert to fraction form
   43.64/77.42 = 77.42/x
3. Step 3: Cross multiply
   43.64x = 77.42 × 77.42
4. Step 4: Simplify right side
   43.64x = 5,993.55
5. Step 5: Solve for x
   x = 5,993.55/43.64
6. Step 6: Final answer
   x = 137.35