Finding the Third Proportional to 11,538.75 and 25,213.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538.75 : 25,213.25 = 25,213.25 : x
2. Step 2: Convert to fraction form
   11,538.75/25,213.25 = 25,213.25/x
3. Step 3: Cross multiply
   11,538.75x = 25,213.25 × 25,213.25
4. Step 4: Simplify right side
   11,538.75x = 635,707,975.56
5. Step 5: Solve for x
   x = 635,707,975.56/11,538.75
6. Step 6: Final answer
   x = 55,093.31