Finding the Third Proportional to 10,827 and 16,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,827 : 16,591.50 = 16,591.50 : x
2. Step 2: Convert to fraction form
   10,827/16,591.50 = 16,591.50/x
3. Step 3: Cross multiply
   10,827x = 16,591.50 × 16,591.50
4. Step 4: Simplify right side
   10,827x = 275,277,872.25
5. Step 5: Solve for x
   x = 275,277,872.25/10,827
6. Step 6: Final answer
   x = 25,425.13