Finding the Third Proportional to 25,674 and 37,503

Step by Step Solution

1. Step 1: Write the proportion equation
   25,674 : 37,503 = 37,503 : x
2. Step 2: Convert to fraction form
   25,674/37,503 = 37,503/x
3. Step 3: Cross multiply
   25,674x = 37,503 × 37,503
4. Step 4: Simplify right side
   25,674x = 1,406,475,009
5. Step 5: Solve for x
   x = 1,406,475,009/25,674
6. Step 6: Final answer
   x = 54,782.08