Finding the Third Proportional to 25,626 and 37,595

Step by Step Solution

1. Step 1: Write the proportion equation
   25,626 : 37,595 = 37,595 : x
2. Step 2: Convert to fraction form
   25,626/37,595 = 37,595/x
3. Step 3: Cross multiply
   25,626x = 37,595 × 37,595
4. Step 4: Simplify right side
   25,626x = 1,413,384,025
5. Step 5: Solve for x
   x = 1,413,384,025/25,626
6. Step 6: Final answer
   x = 55,154.30