Finding the Third Proportional to 5,196 and 11,123

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196 : 11,123 = 11,123 : x
2. Step 2: Convert to fraction form
   5,196/11,123 = 11,123/x
3. Step 3: Cross multiply
   5,196x = 11,123 × 11,123
4. Step 4: Simplify right side
   5,196x = 123,721,129
5. Step 5: Solve for x
   x = 123,721,129/5,196
6. Step 6: Final answer
   x = 23,810.84