Finding the Third Proportional to 1,584.50 and 2,438.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.50 : 2,438.63 = 2,438.63 : x
2. Step 2: Convert to fraction form
   1,584.50/2,438.63 = 2,438.63/x
3. Step 3: Cross multiply
   1,584.50x = 2,438.63 × 2,438.63
4. Step 4: Simplify right side
   1,584.50x = 5,946,891.89
5. Step 5: Solve for x
   x = 5,946,891.89/1,584.50
6. Step 6: Final answer
   x = 3,753.17