Finding the Third Proportional to 2,390.50 and 3,654.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,390.50 : 3,654.56 = 3,654.56 : x
2. Step 2: Convert to fraction form
   2,390.50/3,654.56 = 3,654.56/x
3. Step 3: Cross multiply
   2,390.50x = 3,654.56 × 3,654.56
4. Step 4: Simplify right side
   2,390.50x = 13,355,827.07
5. Step 5: Solve for x
   x = 13,355,827.07/2,390.50
6. Step 6: Final answer
   x = 5,587.04