Finding the Third Proportional to 11,914 and 26,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,914 : 26,049.50 = 26,049.50 : x
2. Step 2: Convert to fraction form
   11,914/26,049.50 = 26,049.50/x
3. Step 3: Cross multiply
   11,914x = 26,049.50 × 26,049.50
4. Step 4: Simplify right side
   11,914x = 678,576,450.25
5. Step 5: Solve for x
   x = 678,576,450.25/11,914
6. Step 6: Final answer
   x = 56,956.22