Finding the Third Proportional to 15.50 and 35.94

Step by Step Solution

1. Step 1: Write the proportion equation
   15.50 : 35.94 = 35.94 : x
2. Step 2: Convert to fraction form
   15.50/35.94 = 35.94/x
3. Step 3: Cross multiply
   15.50x = 35.94 × 35.94
4. Step 4: Simplify right side
   15.50x = 1,291.50
5. Step 5: Solve for x
   x = 1,291.50/15.50
6. Step 6: Final answer
   x = 83.32