Finding the Third Proportional to 25,186 and 37,839

Step by Step Solution

1. Step 1: Write the proportion equation
   25,186 : 37,839 = 37,839 : x
2. Step 2: Convert to fraction form
   25,186/37,839 = 37,839/x
3. Step 3: Cross multiply
   25,186x = 37,839 × 37,839
4. Step 4: Simplify right side
   25,186x = 1,431,789,921
5. Step 5: Solve for x
   x = 1,431,789,921/25,186
6. Step 6: Final answer
   x = 56,848.64