Finding the Third Proportional to 2,264 and 3,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,264 : 3,410.50 = 3,410.50 : x
2. Step 2: Convert to fraction form
   2,264/3,410.50 = 3,410.50/x
3. Step 3: Cross multiply
   2,264x = 3,410.50 × 3,410.50
4. Step 4: Simplify right side
   2,264x = 11,631,510.25
5. Step 5: Solve for x
   x = 11,631,510.25/2,264
6. Step 6: Final answer
   x = 5,137.59