Finding the Third Proportional to 25,507 and 37,481

Step by Step Solution

1. Step 1: Write the proportion equation
   25,507 : 37,481 = 37,481 : x
2. Step 2: Convert to fraction form
   25,507/37,481 = 37,481/x
3. Step 3: Cross multiply
   25,507x = 37,481 × 37,481
4. Step 4: Simplify right side
   25,507x = 1,404,825,361
5. Step 5: Solve for x
   x = 1,404,825,361/25,507
6. Step 6: Final answer
   x = 55,076.07