Finding the Third Proportional to 1,384.50 and 2,022.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.50 : 2,022.63 = 2,022.63 : x
2. Step 2: Convert to fraction form
   1,384.50/2,022.63 = 2,022.63/x
3. Step 3: Cross multiply
   1,384.50x = 2,022.63 × 2,022.63
4. Step 4: Simplify right side
   1,384.50x = 4,091,011.89
5. Step 5: Solve for x
   x = 4,091,011.89/1,384.50
6. Step 6: Final answer
   x = 2,954.87