Finding the Third Proportional to 5,824.50 and 10,758

Step by Step Solution

1. Step 1: Write the proportion equation
   5,824.50 : 10,758 = 10,758 : x
2. Step 2: Convert to fraction form
   5,824.50/10,758 = 10,758/x
3. Step 3: Cross multiply
   5,824.50x = 10,758 × 10,758
4. Step 4: Simplify right side
   5,824.50x = 115,734,564
5. Step 5: Solve for x
   x = 115,734,564/5,824.50
6. Step 6: Final answer
   x = 19,870.30