Finding the Third Proportional to 2,272.50 and 3,475

Step by Step Solution

1. Step 1: Write the proportion equation
   2,272.50 : 3,475 = 3,475 : x
2. Step 2: Convert to fraction form
   2,272.50/3,475 = 3,475/x
3. Step 3: Cross multiply
   2,272.50x = 3,475 × 3,475
4. Step 4: Simplify right side
   2,272.50x = 12,075,625
5. Step 5: Solve for x
   x = 12,075,625/2,272.50
6. Step 6: Final answer
   x = 5,313.81