Finding the Third Proportional to 2,605 and 5,512.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605 : 5,512.50 = 5,512.50 : x
2. Step 2: Convert to fraction form
   2,605/5,512.50 = 5,512.50/x
3. Step 3: Cross multiply
   2,605x = 5,512.50 × 5,512.50
4. Step 4: Simplify right side
   2,605x = 30,387,656.25
5. Step 5: Solve for x
   x = 30,387,656.25/2,605
6. Step 6: Final answer
   x = 11,665.13