Finding the Third Proportional to 2,647.69 and 4,302.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,647.69 : 4,302.28 = 4,302.28 : x
2. Step 2: Convert to fraction form
   2,647.69/4,302.28 = 4,302.28/x
3. Step 3: Cross multiply
   2,647.69x = 4,302.28 × 4,302.28
4. Step 4: Simplify right side
   2,647.69x = 18,509,623.95
5. Step 5: Solve for x
   x = 18,509,623.95/2,647.69
6. Step 6: Final answer
   x = 6,990.86