Finding the Third Proportional to 10.50 and 23.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10.50 : 23.02 = 23.02 : x
2. Step 2: Convert to fraction form
   10.50/23.02 = 23.02/x
3. Step 3: Cross multiply
   10.50x = 23.02 × 23.02
4. Step 4: Simplify right side
   10.50x = 529.72
5. Step 5: Solve for x
   x = 529.72/10.50
6. Step 6: Final answer
   x = 50.45