Finding the Third Proportional to 2,647.58 and 5,647.01

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.58 : 5,647.01 = 5,647.01 : x
2. Step 2: Convert to fraction form
   2,647.58/5,647.01 = 5,647.01/x
3. Step 3: Cross multiply
   2,647.58x = 5,647.01 × 5,647.01
4. Step 4: Simplify right side
   2,647.58x = 31,888,697.23
5. Step 5: Solve for x
   x = 31,888,697.23/2,647.58
6. Step 6: Final answer
   x = 12,044.46