Finding the Third Proportional to 2,767.50 and 4,637.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767.50 : 4,637.25 = 4,637.25 : x
2. Step 2: Convert to fraction form
   2,767.50/4,637.25 = 4,637.25/x
3. Step 3: Cross multiply
   2,767.50x = 4,637.25 × 4,637.25
4. Step 4: Simplify right side
   2,767.50x = 21,504,087.56
5. Step 5: Solve for x
   x = 21,504,087.56/2,767.50
6. Step 6: Final answer
   x = 7,770.22