Finding the Third Proportional to 2,295 and 5,332.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,295 : 5,332.50 = 5,332.50 : x
2. Step 2: Convert to fraction form
   2,295/5,332.50 = 5,332.50/x
3. Step 3: Cross multiply
   2,295x = 5,332.50 × 5,332.50
4. Step 4: Simplify right side
   2,295x = 28,435,556.25
5. Step 5: Solve for x
   x = 28,435,556.25/2,295
6. Step 6: Final answer
   x = 12,390.22