Finding the Third Proportional to 1,282.50 and 2,400.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.50 : 2,400.47 = 2,400.47 : x
2. Step 2: Convert to fraction form
   1,282.50/2,400.47 = 2,400.47/x
3. Step 3: Cross multiply
   1,282.50x = 2,400.47 × 2,400.47
4. Step 4: Simplify right side
   1,282.50x = 5,762,250.22
5. Step 5: Solve for x
   x = 5,762,250.22/1,282.50
6. Step 6: Final answer
   x = 4,492.98