Finding the Third Proportional to 2,295 and 3,235.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,295 : 3,235.50 = 3,235.50 : x
2. Step 2: Convert to fraction form
   2,295/3,235.50 = 3,235.50/x
3. Step 3: Cross multiply
   2,295x = 3,235.50 × 3,235.50
4. Step 4: Simplify right side
   2,295x = 10,468,460.25
5. Step 5: Solve for x
   x = 10,468,460.25/2,295
6. Step 6: Final answer
   x = 4,561.42