Finding the Third Proportional to 1,978.17 and 4,184.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.17 : 4,184.16 = 4,184.16 : x
2. Step 2: Convert to fraction form
   1,978.17/4,184.16 = 4,184.16/x
3. Step 3: Cross multiply
   1,978.17x = 4,184.16 × 4,184.16
4. Step 4: Simplify right side
   1,978.17x = 17,507,163.52
5. Step 5: Solve for x
   x = 17,507,163.52/1,978.17
6. Step 6: Final answer
   x = 8,850.17