Finding the Third Proportional to 2,704.50 and 5,996.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,704.50 : 5,996.63 = 5,996.63 : x
2. Step 2: Convert to fraction form
   2,704.50/5,996.63 = 5,996.63/x
3. Step 3: Cross multiply
   2,704.50x = 5,996.63 × 5,996.63
4. Step 4: Simplify right side
   2,704.50x = 35,959,511.39
5. Step 5: Solve for x
   x = 35,959,511.39/2,704.50
6. Step 6: Final answer
   x = 13,296.18