Finding the Third Proportional to 12,364 and 19,123

Step by Step Solution

1. Step 1: Write the proportion equation
   12,364 : 19,123 = 19,123 : x
2. Step 2: Convert to fraction form
   12,364/19,123 = 19,123/x
3. Step 3: Cross multiply
   12,364x = 19,123 × 19,123
4. Step 4: Simplify right side
   12,364x = 365,689,129
5. Step 5: Solve for x
   x = 365,689,129/12,364
6. Step 6: Final answer
   x = 29,576.93