Finding the Third Proportional to 11,788.50 and 25,683

Step by Step Solution

1. Step 1: Write the proportion equation
   11,788.50 : 25,683 = 25,683 : x
2. Step 2: Convert to fraction form
   11,788.50/25,683 = 25,683/x
3. Step 3: Cross multiply
   11,788.50x = 25,683 × 25,683
4. Step 4: Simplify right side
   11,788.50x = 659,616,489
5. Step 5: Solve for x
   x = 659,616,489/11,788.50
6. Step 6: Final answer
   x = 55,954.23