Finding the Third Proportional to 66.31 and 142.16

Step by Step Solution

1. Step 1: Write the proportion equation
   66.31 : 142.16 = 142.16 : x
2. Step 2: Convert to fraction form
   66.31/142.16 = 142.16/x
3. Step 3: Cross multiply
   66.31x = 142.16 × 142.16
4. Step 4: Simplify right side
   66.31x = 20,208.40
5. Step 5: Solve for x
   x = 20,208.40/66.31
6. Step 6: Final answer
   x = 304.74