Finding the Third Proportional to 25,634 and 37,855

Step by Step Solution

1. Step 1: Write the proportion equation
   25,634 : 37,855 = 37,855 : x
2. Step 2: Convert to fraction form
   25,634/37,855 = 37,855/x
3. Step 3: Cross multiply
   25,634x = 37,855 × 37,855
4. Step 4: Simplify right side
   25,634x = 1,433,001,025
5. Step 5: Solve for x
   x = 1,433,001,025/25,634
6. Step 6: Final answer
   x = 55,902.36