Finding the Third Proportional to 3,889.69 and 5,978.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,889.69 : 5,978.72 = 5,978.72 : x
2. Step 2: Convert to fraction form
   3,889.69/5,978.72 = 5,978.72/x
3. Step 3: Cross multiply
   3,889.69x = 5,978.72 × 5,978.72
4. Step 4: Simplify right side
   3,889.69x = 35,745,077.89
5. Step 5: Solve for x
   x = 35,745,077.89/3,889.69
6. Step 6: Final answer
   x = 9,189.70