Finding the Third Proportional to 1,978.88 and 2,847.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.88 : 2,847.38 = 2,847.38 : x
2. Step 2: Convert to fraction form
   1,978.88/2,847.38 = 2,847.38/x
3. Step 3: Cross multiply
   1,978.88x = 2,847.38 × 2,847.38
4. Step 4: Simplify right side
   1,978.88x = 8,107,544.39
5. Step 5: Solve for x
   x = 8,107,544.39/1,978.88
6. Step 6: Final answer
   x = 4,097.05