Finding the Third Proportional to 7,648.50 and 10,293

Step by Step Solution

1. Step 1: Write the proportion equation
   7,648.50 : 10,293 = 10,293 : x
2. Step 2: Convert to fraction form
   7,648.50/10,293 = 10,293/x
3. Step 3: Cross multiply
   7,648.50x = 10,293 × 10,293
4. Step 4: Simplify right side
   7,648.50x = 105,945,849
5. Step 5: Solve for x
   x = 105,945,849/7,648.50
6. Step 6: Final answer
   x = 13,851.85