Finding the Third Proportional to 1,978.59 and 2,983.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,978.59 : 2,983.08 = 2,983.08 : x
2. Step 2: Convert to fraction form
   1,978.59/2,983.08 = 2,983.08/x
3. Step 3: Cross multiply
   1,978.59x = 2,983.08 × 2,983.08
4. Step 4: Simplify right side
   1,978.59x = 8,898,755.10
5. Step 5: Solve for x
   x = 8,898,755.10/1,978.59
6. Step 6: Final answer
   x = 4,497.52