Finding the Third Proportional to 1,401 and 2,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401 : 2,851.50 = 2,851.50 : x
2. Step 2: Convert to fraction form
   1,401/2,851.50 = 2,851.50/x
3. Step 3: Cross multiply
   1,401x = 2,851.50 × 2,851.50
4. Step 4: Simplify right side
   1,401x = 8,131,052.25
5. Step 5: Solve for x
   x = 8,131,052.25/1,401
6. Step 6: Final answer
   x = 5,803.75