Finding the Third Proportional to 11,823 and 25,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,823 : 25,741.50 = 25,741.50 : x
2. Step 2: Convert to fraction form
   11,823/25,741.50 = 25,741.50/x
3. Step 3: Cross multiply
   11,823x = 25,741.50 × 25,741.50
4. Step 4: Simplify right side
   11,823x = 662,624,822.25
5. Step 5: Solve for x
   x = 662,624,822.25/11,823
6. Step 6: Final answer
   x = 56,045.40