Finding the Third Proportional to 5,780 and 10,900

Step by Step Solution

1. Step 1: Write the proportion equation
   5,780 : 10,900 = 10,900 : x
2. Step 2: Convert to fraction form
   5,780/10,900 = 10,900/x
3. Step 3: Cross multiply
   5,780x = 10,900 × 10,900
4. Step 4: Simplify right side
   5,780x = 118,810,000
5. Step 5: Solve for x
   x = 118,810,000/5,780
6. Step 6: Final answer
   x = 20,555.36