Finding the Third Proportional to 9,856 and 14,584

Step by Step Solution

1. Step 1: Write the proportion equation
   9,856 : 14,584 = 14,584 : x
2. Step 2: Convert to fraction form
   9,856/14,584 = 14,584/x
3. Step 3: Cross multiply
   9,856x = 14,584 × 14,584
4. Step 4: Simplify right side
   9,856x = 212,693,056
5. Step 5: Solve for x
   x = 212,693,056/9,856
6. Step 6: Final answer
   x = 21,580.06