Finding the Third Proportional to 5,186 and 10,840

Step by Step Solution

1. Step 1: Write the proportion equation
   5,186 : 10,840 = 10,840 : x
2. Step 2: Convert to fraction form
   5,186/10,840 = 10,840/x
3. Step 3: Cross multiply
   5,186x = 10,840 × 10,840
4. Step 4: Simplify right side
   5,186x = 117,505,600
5. Step 5: Solve for x
   x = 117,505,600/5,186
6. Step 6: Final answer
   x = 22,658.23