Finding the Third Proportional to 25,530 and 37,406

Step by Step Solution

1. Step 1: Write the proportion equation
   25,530 : 37,406 = 37,406 : x
2. Step 2: Convert to fraction form
   25,530/37,406 = 37,406/x
3. Step 3: Cross multiply
   25,530x = 37,406 × 37,406
4. Step 4: Simplify right side
   25,530x = 1,399,208,836
5. Step 5: Solve for x
   x = 1,399,208,836/25,530
6. Step 6: Final answer
   x = 54,806.46