Finding the Third Proportional to 2,890.69 and 6,442.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,890.69 : 6,442.03 = 6,442.03 : x
2. Step 2: Convert to fraction form
   2,890.69/6,442.03 = 6,442.03/x
3. Step 3: Cross multiply
   2,890.69x = 6,442.03 × 6,442.03
4. Step 4: Simplify right side
   2,890.69x = 41,499,766.63
5. Step 5: Solve for x
   x = 41,499,766.63/2,890.69
6. Step 6: Final answer
   x = 14,356.37