Finding the Third Proportional to 35.50 and 76.72

Step by Step Solution

1. Step 1: Write the proportion equation
   35.50 : 76.72 = 76.72 : x
2. Step 2: Convert to fraction form
   35.50/76.72 = 76.72/x
3. Step 3: Cross multiply
   35.50x = 76.72 × 76.72
4. Step 4: Simplify right side
   35.50x = 5,885.77
5. Step 5: Solve for x
   x = 5,885.77/35.50
6. Step 6: Final answer
   x = 165.80