Finding the Third Proportional to 32.04 and 69.77

Step by Step Solution

1. Step 1: Write the proportion equation
   32.04 : 69.77 = 69.77 : x
2. Step 2: Convert to fraction form
   32.04/69.77 = 69.77/x
3. Step 3: Cross multiply
   32.04x = 69.77 × 69.77
4. Step 4: Simplify right side
   32.04x = 4,867.51
5. Step 5: Solve for x
   x = 4,867.51/32.04
6. Step 6: Final answer
   x = 151.94