Finding the Third Proportional to 25,265 and 37,405

Step by Step Solution

1. Step 1: Write the proportion equation
   25,265 : 37,405 = 37,405 : x
2. Step 2: Convert to fraction form
   25,265/37,405 = 37,405/x
3. Step 3: Cross multiply
   25,265x = 37,405 × 37,405
4. Step 4: Simplify right side
   25,265x = 1,399,134,025
5. Step 5: Solve for x
   x = 1,399,134,025/25,265
6. Step 6: Final answer
   x = 55,378.35