Finding the Third Proportional to 13,002.75 and 19,748.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002.75 : 19,748.25 = 19,748.25 : x
2. Step 2: Convert to fraction form
   13,002.75/19,748.25 = 19,748.25/x
3. Step 3: Cross multiply
   13,002.75x = 19,748.25 × 19,748.25
4. Step 4: Simplify right side
   13,002.75x = 389,993,378.06
5. Step 5: Solve for x
   x = 389,993,378.06/13,002.75
6. Step 6: Final answer
   x = 29,993.15