Finding the Third Proportional to 501.71 and 965.46

Step by Step Solution

1. Step 1: Write the proportion equation
   501.71 : 965.46 = 965.46 : x
2. Step 2: Convert to fraction form
   501.71/965.46 = 965.46/x
3. Step 3: Cross multiply
   501.71x = 965.46 × 965.46
4. Step 4: Simplify right side
   501.71x = 932,114.82
5. Step 5: Solve for x
   x = 932,114.82/501.71
6. Step 6: Final answer
   x = 1,857.86