Finding the Third Proportional to 33.64 and 72.83

Step by Step Solution

1. Step 1: Write the proportion equation
   33.64 : 72.83 = 72.83 : x
2. Step 2: Convert to fraction form
   33.64/72.83 = 72.83/x
3. Step 3: Cross multiply
   33.64x = 72.83 × 72.83
4. Step 4: Simplify right side
   33.64x = 5,303.80
5. Step 5: Solve for x
   x = 5,303.80/33.64
6. Step 6: Final answer
   x = 157.68