Finding the Third Proportional to 13,124 and 19,123

Step by Step Solution

1. Step 1: Write the proportion equation
   13,124 : 19,123 = 19,123 : x
2. Step 2: Convert to fraction form
   13,124/19,123 = 19,123/x
3. Step 3: Cross multiply
   13,124x = 19,123 × 19,123
4. Step 4: Simplify right side
   13,124x = 365,689,129
5. Step 5: Solve for x
   x = 365,689,129/13,124
6. Step 6: Final answer
   x = 27,864.15