Finding the Third Proportional to 1,978.88 and 4,174.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.88 : 4,174.88 = 4,174.88 : x
2. Step 2: Convert to fraction form
   1,978.88/4,174.88 = 4,174.88/x
3. Step 3: Cross multiply
   1,978.88x = 4,174.88 × 4,174.88
4. Step 4: Simplify right side
   1,978.88x = 17,429,581.27
5. Step 5: Solve for x
   x = 17,429,581.27/1,978.88
6. Step 6: Final answer
   x = 8,807.82