Finding the Third Proportional to 23.25 and 37.69

Step by Step Solution

1. Step 1: Write the proportion equation
   23.25 : 37.69 = 37.69 : x
2. Step 2: Convert to fraction form
   23.25/37.69 = 37.69/x
3. Step 3: Cross multiply
   23.25x = 37.69 × 37.69
4. Step 4: Simplify right side
   23.25x = 1,420.35
5. Step 5: Solve for x
   x = 1,420.35/23.25
6. Step 6: Final answer
   x = 61.09