Finding the Third Proportional to 7,688 and 10,244

Step by Step Solution

1. Step 1: Write the proportion equation
   7,688 : 10,244 = 10,244 : x
2. Step 2: Convert to fraction form
   7,688/10,244 = 10,244/x
3. Step 3: Cross multiply
   7,688x = 10,244 × 10,244
4. Step 4: Simplify right side
   7,688x = 104,939,536
5. Step 5: Solve for x
   x = 104,939,536/7,688
6. Step 6: Final answer
   x = 13,649.78