Finding the Third Proportional to 15.38 and 35.63

Step by Step Solution

1. Step 1: Write the proportion equation
   15.38 : 35.63 = 35.63 : x
2. Step 2: Convert to fraction form
   15.38/35.63 = 35.63/x
3. Step 3: Cross multiply
   15.38x = 35.63 × 35.63
4. Step 4: Simplify right side
   15.38x = 1,269.14
5. Step 5: Solve for x
   x = 1,269.14/15.38
6. Step 6: Final answer
   x = 82.55