Finding the Third Proportional to 2,392.50 and 5,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,392.50 : 5,230.50 = 5,230.50 : x
2. Step 2: Convert to fraction form
   2,392.50/5,230.50 = 5,230.50/x
3. Step 3: Cross multiply
   2,392.50x = 5,230.50 × 5,230.50
4. Step 4: Simplify right side
   2,392.50x = 27,358,130.25
5. Step 5: Solve for x
   x = 27,358,130.25/2,392.50
6. Step 6: Final answer
   x = 11,434.96