Finding the Third Proportional to 25,648 and 37,464

Step by Step Solution

1. Step 1: Write the proportion equation
   25,648 : 37,464 = 37,464 : x
2. Step 2: Convert to fraction form
   25,648/37,464 = 37,464/x
3. Step 3: Cross multiply
   25,648x = 37,464 × 37,464
4. Step 4: Simplify right side
   25,648x = 1,403,551,296
5. Step 5: Solve for x
   x = 1,403,551,296/25,648
6. Step 6: Final answer
   x = 54,723.62