Finding the Third Proportional to 10,209 and 16,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,209 : 16,285.50 = 16,285.50 : x
2. Step 2: Convert to fraction form
   10,209/16,285.50 = 16,285.50/x
3. Step 3: Cross multiply
   10,209x = 16,285.50 × 16,285.50
4. Step 4: Simplify right side
   10,209x = 265,217,510.25
5. Step 5: Solve for x
   x = 265,217,510.25/10,209
6. Step 6: Final answer
   x = 25,978.79