Finding the Third Proportional to 2,415.50 and 5,292.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,415.50 : 5,292.25 = 5,292.25 : x
2. Step 2: Convert to fraction form
   2,415.50/5,292.25 = 5,292.25/x
3. Step 3: Cross multiply
   2,415.50x = 5,292.25 × 5,292.25
4. Step 4: Simplify right side
   2,415.50x = 28,007,910.06
5. Step 5: Solve for x
   x = 28,007,910.06/2,415.50
6. Step 6: Final answer
   x = 11,595.08