Finding the Third Proportional to 35.65 and 76.31

Step by Step Solution

1. Step 1: Write the proportion equation
   35.65 : 76.31 = 76.31 : x
2. Step 2: Convert to fraction form
   35.65/76.31 = 76.31/x
3. Step 3: Cross multiply
   35.65x = 76.31 × 76.31
4. Step 4: Simplify right side
   35.65x = 5,822.70
5. Step 5: Solve for x
   x = 5,822.70/35.65
6. Step 6: Final answer
   x = 163.34