Finding the Third Proportional to 11,749.50 and 25,866

Step by Step Solution

1. Step 1: Write the proportion equation
   11,749.50 : 25,866 = 25,866 : x
2. Step 2: Convert to fraction form
   11,749.50/25,866 = 25,866/x
3. Step 3: Cross multiply
   11,749.50x = 25,866 × 25,866
4. Step 4: Simplify right side
   11,749.50x = 669,049,956
5. Step 5: Solve for x
   x = 669,049,956/11,749.50
6. Step 6: Final answer
   x = 56,942.84