Finding the Third Proportional to 1,762.70 and 2,241.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,762.70 : 2,241.11 = 2,241.11 : x
2. Step 2: Convert to fraction form
   1,762.70/2,241.11 = 2,241.11/x
3. Step 3: Cross multiply
   1,762.70x = 2,241.11 × 2,241.11
4. Step 4: Simplify right side
   1,762.70x = 5,022,553.72
5. Step 5: Solve for x
   x = 5,022,553.72/1,762.70
6. Step 6: Final answer
   x = 2,849.35