Finding the Third Proportional to 831.94 and 1,978.31

Step by Step Solution

1. Step 1: Write the proportion equation
   831.94 : 1,978.31 = 1,978.31 : x
2. Step 2: Convert to fraction form
   831.94/1,978.31 = 1,978.31/x
3. Step 3: Cross multiply
   831.94x = 1,978.31 × 1,978.31
4. Step 4: Simplify right side
   831.94x = 3,913,720.35
5. Step 5: Solve for x
   x = 3,913,720.35/831.94
6. Step 6: Final answer
   x = 4,704.34