Finding the Third Proportional to 2,388.75 and 3,634.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,388.75 : 3,634.31 = 3,634.31 : x
2. Step 2: Convert to fraction form
   2,388.75/3,634.31 = 3,634.31/x
3. Step 3: Cross multiply
   2,388.75x = 3,634.31 × 3,634.31
4. Step 4: Simplify right side
   2,388.75x = 13,208,227.35
5. Step 5: Solve for x
   x = 13,208,227.35/2,388.75
6. Step 6: Final answer
   x = 5,529.35