Finding the Third Proportional to 15.80 and 34.71

Step by Step Solution

1. Step 1: Write the proportion equation
   15.80 : 34.71 = 34.71 : x
2. Step 2: Convert to fraction form
   15.80/34.71 = 34.71/x
3. Step 3: Cross multiply
   15.80x = 34.71 × 34.71
4. Step 4: Simplify right side
   15.80x = 1,204.89
5. Step 5: Solve for x
   x = 1,204.89/15.80
6. Step 6: Final answer
   x = 76.25