Finding the Third Proportional to 10,738 and 16,596

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738 : 16,596 = 16,596 : x
2. Step 2: Convert to fraction form
   10,738/16,596 = 16,596/x
3. Step 3: Cross multiply
   10,738x = 16,596 × 16,596
4. Step 4: Simplify right side
   10,738x = 275,427,216
5. Step 5: Solve for x
   x = 275,427,216/10,738
6. Step 6: Final answer
   x = 25,649.77