Finding the Third Proportional to 11,537.81 and 24,843.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,537.81 : 24,843.75 = 24,843.75 : x
2. Step 2: Convert to fraction form
   11,537.81/24,843.75 = 24,843.75/x
3. Step 3: Cross multiply
   11,537.81x = 24,843.75 × 24,843.75
4. Step 4: Simplify right side
   11,537.81x = 617,211,914.06
5. Step 5: Solve for x
   x = 617,211,914.06/11,537.81
6. Step 6: Final answer
   x = 53,494.71