Finding the Third Proportional to 13,277.25 and 18,609.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,277.25 : 18,609.75 = 18,609.75 : x
2. Step 2: Convert to fraction form
   13,277.25/18,609.75 = 18,609.75/x
3. Step 3: Cross multiply
   13,277.25x = 18,609.75 × 18,609.75
4. Step 4: Simplify right side
   13,277.25x = 346,322,795.06
5. Step 5: Solve for x
   x = 346,322,795.06/13,277.25
6. Step 6: Final answer
   x = 26,083.93