Finding the Third Proportional to 1,978.17 and 4,174.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.17 : 4,174.03 = 4,174.03 : x
2. Step 2: Convert to fraction form
   1,978.17/4,174.03 = 4,174.03/x
3. Step 3: Cross multiply
   1,978.17x = 4,174.03 × 4,174.03
4. Step 4: Simplify right side
   1,978.17x = 17,422,536.88
5. Step 5: Solve for x
   x = 17,422,536.88/1,978.17
6. Step 6: Final answer
   x = 8,807.39