Finding the Third Proportional to 64.71 and 142.22

Step by Step Solution

1. Step 1: Write the proportion equation
   64.71 : 142.22 = 142.22 : x
2. Step 2: Convert to fraction form
   64.71/142.22 = 142.22/x
3. Step 3: Cross multiply
   64.71x = 142.22 × 142.22
4. Step 4: Simplify right side
   64.71x = 20,227.84
5. Step 5: Solve for x
   x = 20,227.84/64.71
6. Step 6: Final answer
   x = 312.62