Finding the Third Proportional to 11,684 and 25,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684 : 25,629.50 = 25,629.50 : x
2. Step 2: Convert to fraction form
   11,684/25,629.50 = 25,629.50/x
3. Step 3: Cross multiply
   11,684x = 25,629.50 × 25,629.50
4. Step 4: Simplify right side
   11,684x = 656,871,270.25
5. Step 5: Solve for x
   x = 656,871,270.25/11,684
6. Step 6: Final answer
   x = 56,219.73