Finding the Third Proportional to 2,359.75 and 5,000.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.75 : 5,000.50 = 5,000.50 : x
2. Step 2: Convert to fraction form
   2,359.75/5,000.50 = 5,000.50/x
3. Step 3: Cross multiply
   2,359.75x = 5,000.50 × 5,000.50
4. Step 4: Simplify right side
   2,359.75x = 25,005,000.25
5. Step 5: Solve for x
   x = 25,005,000.25/2,359.75
6. Step 6: Final answer
   x = 10,596.46