Finding the Third Proportional to 2,416.50 and 5,600.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,416.50 : 5,600.25 = 5,600.25 : x
2. Step 2: Convert to fraction form
   2,416.50/5,600.25 = 5,600.25/x
3. Step 3: Cross multiply
   2,416.50x = 5,600.25 × 5,600.25
4. Step 4: Simplify right side
   2,416.50x = 31,362,800.06
5. Step 5: Solve for x
   x = 31,362,800.06/2,416.50
6. Step 6: Final answer
   x = 12,978.61