Finding the Third Proportional to 17,314 and 26,123

Step by Step Solution

1. Step 1: Write the proportion equation
   17,314 : 26,123 = 26,123 : x
2. Step 2: Convert to fraction form
   17,314/26,123 = 26,123/x
3. Step 3: Cross multiply
   17,314x = 26,123 × 26,123
4. Step 4: Simplify right side
   17,314x = 682,411,129
5. Step 5: Solve for x
   x = 682,411,129/17,314
6. Step 6: Final answer
   x = 39,413.83