Finding the Third Proportional to 2,638.50 and 5,575

Step by Step Solution

1. Step 1: Write the proportion equation
   2,638.50 : 5,575 = 5,575 : x
2. Step 2: Convert to fraction form
   2,638.50/5,575 = 5,575/x
3. Step 3: Cross multiply
   2,638.50x = 5,575 × 5,575
4. Step 4: Simplify right side
   2,638.50x = 31,080,625
5. Step 5: Solve for x
   x = 31,080,625/2,638.50
6. Step 6: Final answer
   x = 11,779.66