Finding the Third Proportional to 5,836 and 10,592

Step by Step Solution

1. Step 1: Write the proportion equation
   5,836 : 10,592 = 10,592 : x
2. Step 2: Convert to fraction form
   5,836/10,592 = 10,592/x
3. Step 3: Cross multiply
   5,836x = 10,592 × 10,592
4. Step 4: Simplify right side
   5,836x = 112,190,464
5. Step 5: Solve for x
   x = 112,190,464/5,836
6. Step 6: Final answer
   x = 19,223.86