Finding the Third Proportional to 2,365.88 and 3,637.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365.88 : 3,637.69 = 3,637.69 : x
2. Step 2: Convert to fraction form
   2,365.88/3,637.69 = 3,637.69/x
3. Step 3: Cross multiply
   2,365.88x = 3,637.69 × 3,637.69
4. Step 4: Simplify right side
   2,365.88x = 13,232,770.35
5. Step 5: Solve for x
   x = 13,232,770.35/2,365.88
6. Step 6: Final answer
   x = 5,593.18