Finding the Third Proportional to 24.10 and 35.30

Step by Step Solution

1. Step 1: Write the proportion equation
   24.10 : 35.30 = 35.30 : x
2. Step 2: Convert to fraction form
   24.10/35.30 = 35.30/x
3. Step 3: Cross multiply
   24.10x = 35.30 × 35.30
4. Step 4: Simplify right side
   24.10x = 1,246.10
5. Step 5: Solve for x
   x = 1,246.10/24.10
6. Step 6: Final answer
   x = 51.71