Finding the Third Proportional to 6,592.50 and 10,267

Step by Step Solution

1. Step 1: Write the proportion equation
   6,592.50 : 10,267 = 10,267 : x
2. Step 2: Convert to fraction form
   6,592.50/10,267 = 10,267/x
3. Step 3: Cross multiply
   6,592.50x = 10,267 × 10,267
4. Step 4: Simplify right side
   6,592.50x = 105,411,289
5. Step 5: Solve for x
   x = 105,411,289/6,592.50
6. Step 6: Final answer
   x = 15,989.58