Finding the Third Proportional to 70.59 and 110.81

Step by Step Solution

1. Step 1: Write the proportion equation
   70.59 : 110.81 = 110.81 : x
2. Step 2: Convert to fraction form
   70.59/110.81 = 110.81/x
3. Step 3: Cross multiply
   70.59x = 110.81 × 110.81
4. Step 4: Simplify right side
   70.59x = 12,279.41
5. Step 5: Solve for x
   x = 12,279.41/70.59
6. Step 6: Final answer
   x = 173.94