Finding the Third Proportional to 1,401.75 and 2,768.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.75 : 2,768.06 = 2,768.06 : x
2. Step 2: Convert to fraction form
   1,401.75/2,768.06 = 2,768.06/x
3. Step 3: Cross multiply
   1,401.75x = 2,768.06 × 2,768.06
4. Step 4: Simplify right side
   1,401.75x = 7,662,170.00
5. Step 5: Solve for x
   x = 7,662,170.00/1,401.75
6. Step 6: Final answer
   x = 5,466.15