Finding the Third Proportional to 1,401 and 1,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401 : 1,924.50 = 1,924.50 : x
2. Step 2: Convert to fraction form
   1,401/1,924.50 = 1,924.50/x
3. Step 3: Cross multiply
   1,401x = 1,924.50 × 1,924.50
4. Step 4: Simplify right side
   1,401x = 3,703,700.25
5. Step 5: Solve for x
   x = 3,703,700.25/1,401
6. Step 6: Final answer
   x = 2,643.61