Finding the Third Proportional to 1,401.75 and 2,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.75 : 2,893.50 = 2,893.50 : x
2. Step 2: Convert to fraction form
   1,401.75/2,893.50 = 2,893.50/x
3. Step 3: Cross multiply
   1,401.75x = 2,893.50 × 2,893.50
4. Step 4: Simplify right side
   1,401.75x = 8,372,342.25
5. Step 5: Solve for x
   x = 8,372,342.25/1,401.75
6. Step 6: Final answer
   x = 5,972.78