Finding the Third Proportional to 32.81 and 70.69

Step by Step Solution

1. Step 1: Write the proportion equation
   32.81 : 70.69 = 70.69 : x
2. Step 2: Convert to fraction form
   32.81/70.69 = 70.69/x
3. Step 3: Cross multiply
   32.81x = 70.69 × 70.69
4. Step 4: Simplify right side
   32.81x = 4,996.72
5. Step 5: Solve for x
   x = 4,996.72/32.81
6. Step 6: Final answer
   x = 152.28