Finding the Third Proportional to 5,188 and 10,844

Step by Step Solution

1. Step 1: Write the proportion equation
   5,188 : 10,844 = 10,844 : x
2. Step 2: Convert to fraction form
   5,188/10,844 = 10,844/x
3. Step 3: Cross multiply
   5,188x = 10,844 × 10,844
4. Step 4: Simplify right side
   5,188x = 117,592,336
5. Step 5: Solve for x
   x = 117,592,336/5,188
6. Step 6: Final answer
   x = 22,666.22