Finding the Third Proportional to 16,869 and 25,211.25

Step by Step Solution

1. Step 1: Write the proportion equation
   16,869 : 25,211.25 = 25,211.25 : x
2. Step 2: Convert to fraction form
   16,869/25,211.25 = 25,211.25/x
3. Step 3: Cross multiply
   16,869x = 25,211.25 × 25,211.25
4. Step 4: Simplify right side
   16,869x = 635,607,126.56
5. Step 5: Solve for x
   x = 635,607,126.56/16,869
6. Step 6: Final answer
   x = 37,679.00