Finding the Third Proportional to 32.38 and 69.69

Step by Step Solution

1. Step 1: Write the proportion equation
   32.38 : 69.69 = 69.69 : x
2. Step 2: Convert to fraction form
   32.38/69.69 = 69.69/x
3. Step 3: Cross multiply
   32.38x = 69.69 × 69.69
4. Step 4: Simplify right side
   32.38x = 4,856.35
5. Step 5: Solve for x
   x = 4,856.35/32.38
6. Step 6: Final answer
   x = 150.00