Finding the Third Proportional to 10,596 and 19,128

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596 : 19,128 = 19,128 : x
2. Step 2: Convert to fraction form
   10,596/19,128 = 19,128/x
3. Step 3: Cross multiply
   10,596x = 19,128 × 19,128
4. Step 4: Simplify right side
   10,596x = 365,880,384
5. Step 5: Solve for x
   x = 365,880,384/10,596
6. Step 6: Final answer
   x = 34,530.05