Finding the Third Proportional to 8,653.50 and 13,844.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,653.50 : 13,844.25 = 13,844.25 : x
2. Step 2: Convert to fraction form
   8,653.50/13,844.25 = 13,844.25/x
3. Step 3: Cross multiply
   8,653.50x = 13,844.25 × 13,844.25
4. Step 4: Simplify right side
   8,653.50x = 191,663,258.06
5. Step 5: Solve for x
   x = 191,663,258.06/8,653.50
6. Step 6: Final answer
   x = 22,148.64