Finding the Third Proportional to 64.73 and 141.61

Step by Step Solution

1. Step 1: Write the proportion equation
   64.73 : 141.61 = 141.61 : x
2. Step 2: Convert to fraction form
   64.73/141.61 = 141.61/x
3. Step 3: Cross multiply
   64.73x = 141.61 × 141.61
4. Step 4: Simplify right side
   64.73x = 20,053.22
5. Step 5: Solve for x
   x = 20,053.22/64.73
6. Step 6: Final answer
   x = 309.78