Finding the Third Proportional to 5,649.75 and 10,388.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,649.75 : 10,388.25 = 10,388.25 : x
2. Step 2: Convert to fraction form
   5,649.75/10,388.25 = 10,388.25/x
3. Step 3: Cross multiply
   5,649.75x = 10,388.25 × 10,388.25
4. Step 4: Simplify right side
   5,649.75x = 107,915,738.06
5. Step 5: Solve for x
   x = 107,915,738.06/5,649.75
6. Step 6: Final answer
   x = 19,100.98