Finding the Third Proportional to 2,647.69 and 2,905.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.69 : 2,905.88 = 2,905.88 : x
2. Step 2: Convert to fraction form
   2,647.69/2,905.88 = 2,905.88/x
3. Step 3: Cross multiply
   2,647.69x = 2,905.88 × 2,905.88
4. Step 4: Simplify right side
   2,647.69x = 8,444,109.52
5. Step 5: Solve for x
   x = 8,444,109.52/2,647.69
6. Step 6: Final answer
   x = 3,189.24