Finding the Third Proportional to 35.63 and 54.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35.63 : 54.38 = 54.38 : x
2. Step 2: Convert to fraction form
   35.63/54.38 = 54.38/x
3. Step 3: Cross multiply
   35.63x = 54.38 × 54.38
4. Step 4: Simplify right side
   35.63x = 2,956.64
5. Step 5: Solve for x
   x = 2,956.64/35.63
6. Step 6: Final answer
   x = 82.99