Finding the Third Proportional to 2,383.88 and 5,635.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,383.88 : 5,635.69 = 5,635.69 : x
2. Step 2: Convert to fraction form
   2,383.88/5,635.69 = 5,635.69/x
3. Step 3: Cross multiply
   2,383.88x = 5,635.69 × 5,635.69
4. Step 4: Simplify right side
   2,383.88x = 31,760,973.60
5. Step 5: Solve for x
   x = 31,760,973.60/2,383.88
6. Step 6: Final answer
   x = 13,323.25