Finding the Third Proportional to 2,388.56 and 3,689.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,388.56 : 3,689.34 = 3,689.34 : x
2. Step 2: Convert to fraction form
   2,388.56/3,689.34 = 3,689.34/x
3. Step 3: Cross multiply
   2,388.56x = 3,689.34 × 3,689.34
4. Step 4: Simplify right side
   2,388.56x = 13,611,257.31
5. Step 5: Solve for x
   x = 13,611,257.31/2,388.56
6. Step 6: Final answer
   x = 5,698.51