Finding the Third Proportional to 5,796 and 11,300

Step by Step Solution

1. Step 1: Write the proportion equation
   5,796 : 11,300 = 11,300 : x
2. Step 2: Convert to fraction form
   5,796/11,300 = 11,300/x
3. Step 3: Cross multiply
   5,796x = 11,300 × 11,300
4. Step 4: Simplify right side
   5,796x = 127,690,000
5. Step 5: Solve for x
   x = 127,690,000/5,796
6. Step 6: Final answer
   x = 22,030.71