Finding the Third Proportional to 8,769 and 19,123

Step by Step Solution

1. Step 1: Write the proportion equation
   8,769 : 19,123 = 19,123 : x
2. Step 2: Convert to fraction form
   8,769/19,123 = 19,123/x
3. Step 3: Cross multiply
   8,769x = 19,123 × 19,123
4. Step 4: Simplify right side
   8,769x = 365,689,129
5. Step 5: Solve for x
   x = 365,689,129/8,769
6. Step 6: Final answer
   x = 41,702.49