Finding the Third Proportional to 72.59 and 110.80

Step by Step Solution

1. Step 1: Write the proportion equation
   72.59 : 110.80 = 110.80 : x
2. Step 2: Convert to fraction form
   72.59/110.80 = 110.80/x
3. Step 3: Cross multiply
   72.59x = 110.80 × 110.80
4. Step 4: Simplify right side
   72.59x = 12,276.81
5. Step 5: Solve for x
   x = 12,276.81/72.59
6. Step 6: Final answer
   x = 169.13