Finding the Third Proportional to 15.16 and 35.78

Step by Step Solution

1. Step 1: Write the proportion equation
   15.16 : 35.78 = 35.78 : x
2. Step 2: Convert to fraction form
   15.16/35.78 = 35.78/x
3. Step 3: Cross multiply
   15.16x = 35.78 × 35.78
4. Step 4: Simplify right side
   15.16x = 1,280.23
5. Step 5: Solve for x
   x = 1,280.23/15.16
6. Step 6: Final answer
   x = 84.44