Finding the Third Proportional to 2,140.50 and 2,777.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,140.50 : 2,777.25 = 2,777.25 : x
2. Step 2: Convert to fraction form
   2,140.50/2,777.25 = 2,777.25/x
3. Step 3: Cross multiply
   2,140.50x = 2,777.25 × 2,777.25
4. Step 4: Simplify right side
   2,140.50x = 7,713,117.56
5. Step 5: Solve for x
   x = 7,713,117.56/2,140.50
6. Step 6: Final answer
   x = 3,603.42