Finding the Third Proportional to 3,889.81 and 5,978.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,889.81 : 5,978.94 = 5,978.94 : x
2. Step 2: Convert to fraction form
   3,889.81/5,978.94 = 5,978.94/x
3. Step 3: Cross multiply
   3,889.81x = 5,978.94 × 5,978.94
4. Step 4: Simplify right side
   3,889.81x = 35,747,693.63
5. Step 5: Solve for x
   x = 35,747,693.63/3,889.81
6. Step 6: Final answer
   x = 9,190.08