Finding the Third Proportional to 2,047.78 and 5,563.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,047.78 : 5,563.69 = 5,563.69 : x
2. Step 2: Convert to fraction form
   2,047.78/5,563.69 = 5,563.69/x
3. Step 3: Cross multiply
   2,047.78x = 5,563.69 × 5,563.69
4. Step 4: Simplify right side
   2,047.78x = 30,954,618.60
5. Step 5: Solve for x
   x = 30,954,618.60/2,047.78
6. Step 6: Final answer
   x = 15,116.17