Finding the Third Proportional to 13,792.50 and 18,789.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,792.50 : 18,789.75 = 18,789.75 : x
2. Step 2: Convert to fraction form
   13,792.50/18,789.75 = 18,789.75/x
3. Step 3: Cross multiply
   13,792.50x = 18,789.75 × 18,789.75
4. Step 4: Simplify right side
   13,792.50x = 353,054,705.06
5. Step 5: Solve for x
   x = 353,054,705.06/13,792.50
6. Step 6: Final answer
   x = 25,597.59