Finding the Third Proportional to 2,416.24 and 5,645.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,416.24 : 5,645.48 = 5,645.48 : x
2. Step 2: Convert to fraction form
   2,416.24/5,645.48 = 5,645.48/x
3. Step 3: Cross multiply
   2,416.24x = 5,645.48 × 5,645.48
4. Step 4: Simplify right side
   2,416.24x = 31,871,427.67
5. Step 5: Solve for x
   x = 31,871,427.67/2,416.24
6. Step 6: Final answer
   x = 13,190.53