Finding the Third Proportional to 10,264 and 16,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264 : 16,369.50 = 16,369.50 : x
2. Step 2: Convert to fraction form
   10,264/16,369.50 = 16,369.50/x
3. Step 3: Cross multiply
   10,264x = 16,369.50 × 16,369.50
4. Step 4: Simplify right side
   10,264x = 267,960,530.25
5. Step 5: Solve for x
   x = 267,960,530.25/10,264
6. Step 6: Final answer
   x = 26,106.83