Finding the Third Proportional to 2,365.13 and 3,659.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365.13 : 3,659.88 = 3,659.88 : x
2. Step 2: Convert to fraction form
   2,365.13/3,659.88 = 3,659.88/x
3. Step 3: Cross multiply
   2,365.13x = 3,659.88 × 3,659.88
4. Step 4: Simplify right side
   2,365.13x = 13,394,685.02
5. Step 5: Solve for x
   x = 13,394,685.02/2,365.13
6. Step 6: Final answer
   x = 5,663.42