Finding the Third Proportional to 23.25 and 62.25

Step by Step Solution

1. Step 1: Write the proportion equation
   23.25 : 62.25 = 62.25 : x
2. Step 2: Convert to fraction form
   23.25/62.25 = 62.25/x
3. Step 3: Cross multiply
   23.25x = 62.25 × 62.25
4. Step 4: Simplify right side
   23.25x = 3,875.06
5. Step 5: Solve for x
   x = 3,875.06/23.25
6. Step 6: Final answer
   x = 166.67