Finding the Third Proportional to 11,805 and 25,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,805 : 25,756.50 = 25,756.50 : x
2. Step 2: Convert to fraction form
   11,805/25,756.50 = 25,756.50/x
3. Step 3: Cross multiply
   11,805x = 25,756.50 × 25,756.50
4. Step 4: Simplify right side
   11,805x = 663,397,292.25
5. Step 5: Solve for x
   x = 663,397,292.25/11,805
6. Step 6: Final answer
   x = 56,196.30