Finding the Third Proportional to 66.23 and 141.33

Step by Step Solution

1. Step 1: Write the proportion equation
   66.23 : 141.33 = 141.33 : x
2. Step 2: Convert to fraction form
   66.23/141.33 = 141.33/x
3. Step 3: Cross multiply
   66.23x = 141.33 × 141.33
4. Step 4: Simplify right side
   66.23x = 19,973.64
5. Step 5: Solve for x
   x = 19,973.64/66.23
6. Step 6: Final answer
   x = 301.56