Finding the Third Proportional to 10.50 and 24.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10.50 : 24.63 = 24.63 : x
2. Step 2: Convert to fraction form
   10.50/24.63 = 24.63/x
3. Step 3: Cross multiply
   10.50x = 24.63 × 24.63
4. Step 4: Simplify right side
   10.50x = 606.39
5. Step 5: Solve for x
   x = 606.39/10.50
6. Step 6: Final answer
   x = 57.75