Finding the Third Proportional to 8,637 and 13,084.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,637 : 13,084.69 = 13,084.69 : x
2. Step 2: Convert to fraction form
   8,637/13,084.69 = 13,084.69/x
3. Step 3: Cross multiply
   8,637x = 13,084.69 × 13,084.69
4. Step 4: Simplify right side
   8,637x = 171,209,046.97
5. Step 5: Solve for x
   x = 171,209,046.97/8,637
6. Step 6: Final answer
   x = 19,822.74