Finding the Third Proportional to 8,906 and 13,584

Step by Step Solution

1. Step 1: Write the proportion equation
   8,906 : 13,584 = 13,584 : x
2. Step 2: Convert to fraction form
   8,906/13,584 = 13,584/x
3. Step 3: Cross multiply
   8,906x = 13,584 × 13,584
4. Step 4: Simplify right side
   8,906x = 184,525,056
5. Step 5: Solve for x
   x = 184,525,056/8,906
6. Step 6: Final answer
   x = 20,719.18