Finding the Third Proportional to 11,771 and 25,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,771 : 25,161.50 = 25,161.50 : x
2. Step 2: Convert to fraction form
   11,771/25,161.50 = 25,161.50/x
3. Step 3: Cross multiply
   11,771x = 25,161.50 × 25,161.50
4. Step 4: Simplify right side
   11,771x = 633,101,082.25
5. Step 5: Solve for x
   x = 633,101,082.25/11,771
6. Step 6: Final answer
   x = 53,784.82