Finding the Third Proportional to 32.09 and 69.23

Step by Step Solution

1. Step 1: Write the proportion equation
   32.09 : 69.23 = 69.23 : x
2. Step 2: Convert to fraction form
   32.09/69.23 = 69.23/x
3. Step 3: Cross multiply
   32.09x = 69.23 × 69.23
4. Step 4: Simplify right side
   32.09x = 4,792.32
5. Step 5: Solve for x
   x = 4,792.32/32.09
6. Step 6: Final answer
   x = 149.32