Finding the Third Proportional to 2,320.50 and 5,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,320.50 : 5,158.50 = 5,158.50 : x
2. Step 2: Convert to fraction form
   2,320.50/5,158.50 = 5,158.50/x
3. Step 3: Cross multiply
   2,320.50x = 5,158.50 × 5,158.50
4. Step 4: Simplify right side
   2,320.50x = 26,610,122.25
5. Step 5: Solve for x
   x = 26,610,122.25/2,320.50
6. Step 6: Final answer
   x = 11,467.41