Finding the Third Proportional to 1,384.59 and 2,022.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.59 : 2,022.47 = 2,022.47 : x
2. Step 2: Convert to fraction form
   1,384.59/2,022.47 = 2,022.47/x
3. Step 3: Cross multiply
   1,384.59x = 2,022.47 × 2,022.47
4. Step 4: Simplify right side
   1,384.59x = 4,090,379.84
5. Step 5: Solve for x
   x = 4,090,379.84/1,384.59
6. Step 6: Final answer
   x = 2,954.21