Finding the Third Proportional to 10,494 and 13,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494 : 13,270.50 = 13,270.50 : x
2. Step 2: Convert to fraction form
   10,494/13,270.50 = 13,270.50/x
3. Step 3: Cross multiply
   10,494x = 13,270.50 × 13,270.50
4. Step 4: Simplify right side
   10,494x = 176,106,170.25
5. Step 5: Solve for x
   x = 176,106,170.25/10,494
6. Step 6: Final answer
   x = 16,781.61