Finding the Third Proportional to 13,629.75 and 19,328.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,629.75 : 19,328.25 = 19,328.25 : x
2. Step 2: Convert to fraction form
   13,629.75/19,328.25 = 19,328.25/x
3. Step 3: Cross multiply
   13,629.75x = 19,328.25 × 19,328.25
4. Step 4: Simplify right side
   13,629.75x = 373,581,248.06
5. Step 5: Solve for x
   x = 373,581,248.06/13,629.75
6. Step 6: Final answer
   x = 27,409.25