Finding the Third Proportional to 10,578 and 19,536

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578 : 19,536 = 19,536 : x
2. Step 2: Convert to fraction form
   10,578/19,536 = 19,536/x
3. Step 3: Cross multiply
   10,578x = 19,536 × 19,536
4. Step 4: Simplify right side
   10,578x = 381,655,296
5. Step 5: Solve for x
   x = 381,655,296/10,578
6. Step 6: Final answer
   x = 36,080.10