Finding the Third Proportional to 11,537.86 and 25,211.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,537.86 : 25,211.25 = 25,211.25 : x
2. Step 2: Convert to fraction form
   11,537.86/25,211.25 = 25,211.25/x
3. Step 3: Cross multiply
   11,537.86x = 25,211.25 × 25,211.25
4. Step 4: Simplify right side
   11,537.86x = 635,607,126.56
5. Step 5: Solve for x
   x = 635,607,126.56/11,537.86
6. Step 6: Final answer
   x = 55,088.83