Finding the Third Proportional to 2,603 and 5,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,603 : 5,577.50 = 5,577.50 : x
2. Step 2: Convert to fraction form
   2,603/5,577.50 = 5,577.50/x
3. Step 3: Cross multiply
   2,603x = 5,577.50 × 5,577.50
4. Step 4: Simplify right side
   2,603x = 31,108,506.25
5. Step 5: Solve for x
   x = 31,108,506.25/2,603
6. Step 6: Final answer
   x = 11,951.02