Finding the Third Proportional to 39.72 and 70.69

Step by Step Solution

1. Step 1: Write the proportion equation
   39.72 : 70.69 = 70.69 : x
2. Step 2: Convert to fraction form
   39.72/70.69 = 70.69/x
3. Step 3: Cross multiply
   39.72x = 70.69 × 70.69
4. Step 4: Simplify right side
   39.72x = 4,996.72
5. Step 5: Solve for x
   x = 4,996.72/39.72
6. Step 6: Final answer
   x = 125.80