Finding the Third Proportional to 72.14 and 165.80

Step by Step Solution

1. Step 1: Write the proportion equation
   72.14 : 165.80 = 165.80 : x
2. Step 2: Convert to fraction form
   72.14/165.80 = 165.80/x
3. Step 3: Cross multiply
   72.14x = 165.80 × 165.80
4. Step 4: Simplify right side
   72.14x = 27,488.60
5. Step 5: Solve for x
   x = 27,488.60/72.14
6. Step 6: Final answer
   x = 381.04