Finding the Third Proportional to 1,672.31 and 2,978.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,672.31 : 2,978.44 = 2,978.44 : x
2. Step 2: Convert to fraction form
   1,672.31/2,978.44 = 2,978.44/x
3. Step 3: Cross multiply
   1,672.31x = 2,978.44 × 2,978.44
4. Step 4: Simplify right side
   1,672.31x = 8,871,089.94
5. Step 5: Solve for x
   x = 8,871,089.94/1,672.31
6. Step 6: Final answer
   x = 5,304.68