Finding the Third Proportional to 3,075.50 and 4,775.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,075.50 : 4,775.25 = 4,775.25 : x
2. Step 2: Convert to fraction form
   3,075.50/4,775.25 = 4,775.25/x
3. Step 3: Cross multiply
   3,075.50x = 4,775.25 × 4,775.25
4. Step 4: Simplify right side
   3,075.50x = 22,803,012.56
5. Step 5: Solve for x
   x = 22,803,012.56/3,075.50
6. Step 6: Final answer
   x = 7,414.41