Finding the Third Proportional to 1,842.75 and 3,978.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,842.75 : 3,978.94 = 3,978.94 : x
2. Step 2: Convert to fraction form
   1,842.75/3,978.94 = 3,978.94/x
3. Step 3: Cross multiply
   1,842.75x = 3,978.94 × 3,978.94
4. Step 4: Simplify right side
   1,842.75x = 15,831,943.63
5. Step 5: Solve for x
   x = 15,831,943.63/1,842.75
6. Step 6: Final answer
   x = 8,591.48