Finding the Third Proportional to 5,919 and 10,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,919 : 10,285.50 = 10,285.50 : x
2. Step 2: Convert to fraction form
   5,919/10,285.50 = 10,285.50/x
3. Step 3: Cross multiply
   5,919x = 10,285.50 × 10,285.50
4. Step 4: Simplify right side
   5,919x = 105,791,510.25
5. Step 5: Solve for x
   x = 105,791,510.25/5,919
6. Step 6: Final answer
   x = 17,873.21