Finding the Third Proportional to 32.38 and 69.81

Step by Step Solution

1. Step 1: Write the proportion equation
   32.38 : 69.81 = 69.81 : x
2. Step 2: Convert to fraction form
   32.38/69.81 = 69.81/x
3. Step 3: Cross multiply
   32.38x = 69.81 × 69.81
4. Step 4: Simplify right side
   32.38x = 4,873.79
5. Step 5: Solve for x
   x = 4,873.79/32.38
6. Step 6: Final answer
   x = 150.54