Finding the Third Proportional to 2,272.25 and 3,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,272.25 : 3,474.50 = 3,474.50 : x
2. Step 2: Convert to fraction form
   2,272.25/3,474.50 = 3,474.50/x
3. Step 3: Cross multiply
   2,272.25x = 3,474.50 × 3,474.50
4. Step 4: Simplify right side
   2,272.25x = 12,072,150.25
5. Step 5: Solve for x
   x = 12,072,150.25/2,272.25
6. Step 6: Final answer
   x = 5,312.86