Finding the Third Proportional to 5,299.50 and 10,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,299.50 : 10,585.50 = 10,585.50 : x
2. Step 2: Convert to fraction form
   5,299.50/10,585.50 = 10,585.50/x
3. Step 3: Cross multiply
   5,299.50x = 10,585.50 × 10,585.50
4. Step 4: Simplify right side
   5,299.50x = 112,052,810.25
5. Step 5: Solve for x
   x = 112,052,810.25/5,299.50
6. Step 6: Final answer
   x = 21,144.03