Finding the Third Proportional to 23.69 and 53.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23.69 : 53.50 = 53.50 : x
2. Step 2: Convert to fraction form
   23.69/53.50 = 53.50/x
3. Step 3: Cross multiply
   23.69x = 53.50 × 53.50
4. Step 4: Simplify right side
   23.69x = 2,862.25
5. Step 5: Solve for x
   x = 2,862.25/23.69
6. Step 6: Final answer
   x = 120.83