Finding the Third Proportional to 5,869 and 10,985

Step by Step Solution

1. Step 1: Write the proportion equation
   5,869 : 10,985 = 10,985 : x
2. Step 2: Convert to fraction form
   5,869/10,985 = 10,985/x
3. Step 3: Cross multiply
   5,869x = 10,985 × 10,985
4. Step 4: Simplify right side
   5,869x = 120,670,225
5. Step 5: Solve for x
   x = 120,670,225/5,869
6. Step 6: Final answer
   x = 20,560.61