Finding the Third Proportional to 2,659.50 and 5,784.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,659.50 : 5,784.38 = 5,784.38 : x
2. Step 2: Convert to fraction form
   2,659.50/5,784.38 = 5,784.38/x
3. Step 3: Cross multiply
   2,659.50x = 5,784.38 × 5,784.38
4. Step 4: Simplify right side
   2,659.50x = 33,458,994.14
5. Step 5: Solve for x
   x = 33,458,994.14/2,659.50
6. Step 6: Final answer
   x = 12,580.93