Finding the Third Proportional to 2,227.50 and 2,946.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,227.50 : 2,946.38 = 2,946.38 : x
2. Step 2: Convert to fraction form
   2,227.50/2,946.38 = 2,946.38/x
3. Step 3: Cross multiply
   2,227.50x = 2,946.38 × 2,946.38
4. Step 4: Simplify right side
   2,227.50x = 8,681,125.64
5. Step 5: Solve for x
   x = 8,681,125.64/2,227.50
6. Step 6: Final answer
   x = 3,897.25