Finding the Third Proportional to 25,592 and 37,408

Step by Step Solution

1. Step 1: Write the proportion equation
   25,592 : 37,408 = 37,408 : x
2. Step 2: Convert to fraction form
   25,592/37,408 = 37,408/x
3. Step 3: Cross multiply
   25,592x = 37,408 × 37,408
4. Step 4: Simplify right side
   25,592x = 1,399,358,464
5. Step 5: Solve for x
   x = 1,399,358,464/25,592
6. Step 6: Final answer
   x = 54,679.53