Finding the Third Proportional to 25,546 and 37,475

Step by Step Solution

1. Step 1: Write the proportion equation
   25,546 : 37,475 = 37,475 : x
2. Step 2: Convert to fraction form
   25,546/37,475 = 37,475/x
3. Step 3: Cross multiply
   25,546x = 37,475 × 37,475
4. Step 4: Simplify right side
   25,546x = 1,404,375,625
5. Step 5: Solve for x
   x = 1,404,375,625/25,546
6. Step 6: Final answer
   x = 54,974.38