Finding the Third Proportional to 1,559.50 and 2,384.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,559.50 : 2,384.75 = 2,384.75 : x
2. Step 2: Convert to fraction form
   1,559.50/2,384.75 = 2,384.75/x
3. Step 3: Cross multiply
   1,559.50x = 2,384.75 × 2,384.75
4. Step 4: Simplify right side
   1,559.50x = 5,687,032.56
5. Step 5: Solve for x
   x = 5,687,032.56/1,559.50
6. Step 6: Final answer
   x = 3,646.70