Finding the Third Proportional to 10,869 and 16,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,869 : 16,420.50 = 16,420.50 : x
2. Step 2: Convert to fraction form
   10,869/16,420.50 = 16,420.50/x
3. Step 3: Cross multiply
   10,869x = 16,420.50 × 16,420.50
4. Step 4: Simplify right side
   10,869x = 269,632,820.25
5. Step 5: Solve for x
   x = 269,632,820.25/10,869
6. Step 6: Final answer
   x = 24,807.51