Finding the Third Proportional to 35.72 and 76.22

Step by Step Solution

1. Step 1: Write the proportion equation
   35.72 : 76.22 = 76.22 : x
2. Step 2: Convert to fraction form
   35.72/76.22 = 76.22/x
3. Step 3: Cross multiply
   35.72x = 76.22 × 76.22
4. Step 4: Simplify right side
   35.72x = 5,809.30
5. Step 5: Solve for x
   x = 5,809.30/35.72
6. Step 6: Final answer
   x = 162.64