Finding the Third Proportional to 2,270.71 and 4,869.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,270.71 : 4,869.87 = 4,869.87 : x
2. Step 2: Convert to fraction form
   2,270.71/4,869.87 = 4,869.87/x
3. Step 3: Cross multiply
   2,270.71x = 4,869.87 × 4,869.87
4. Step 4: Simplify right side
   2,270.71x = 23,715,613.56
5. Step 5: Solve for x
   x = 23,715,613.56/2,270.71
6. Step 6: Final answer
   x = 10,444.14