Finding the Third Proportional to 5,835 and 10,536

Step by Step Solution

1. Step 1: Write the proportion equation
   5,835 : 10,536 = 10,536 : x
2. Step 2: Convert to fraction form
   5,835/10,536 = 10,536/x
3. Step 3: Cross multiply
   5,835x = 10,536 × 10,536
4. Step 4: Simplify right side
   5,835x = 111,007,296
5. Step 5: Solve for x
   x = 111,007,296/5,835
6. Step 6: Final answer
   x = 19,024.39