Finding the Third Proportional to 2,591.50 and 5,483.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,591.50 : 5,483.75 = 5,483.75 : x
2. Step 2: Convert to fraction form
   2,591.50/5,483.75 = 5,483.75/x
3. Step 3: Cross multiply
   2,591.50x = 5,483.75 × 5,483.75
4. Step 4: Simplify right side
   2,591.50x = 30,071,514.06
5. Step 5: Solve for x
   x = 30,071,514.06/2,591.50
6. Step 6: Final answer
   x = 11,603.90