Finding the Third Proportional to 11,738.25 and 25,467.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738.25 : 25,467.75 = 25,467.75 : x
2. Step 2: Convert to fraction form
   11,738.25/25,467.75 = 25,467.75/x
3. Step 3: Cross multiply
   11,738.25x = 25,467.75 × 25,467.75
4. Step 4: Simplify right side
   11,738.25x = 648,606,290.06
5. Step 5: Solve for x
   x = 648,606,290.06/11,738.25
6. Step 6: Final answer
   x = 55,255.79