Finding the Third Proportional to 25,180 and 37,037

Step by Step Solution

1. Step 1: Write the proportion equation
   25,180 : 37,037 = 37,037 : x
2. Step 2: Convert to fraction form
   25,180/37,037 = 37,037/x
3. Step 3: Cross multiply
   25,180x = 37,037 × 37,037
4. Step 4: Simplify right side
   25,180x = 1,371,739,369
5. Step 5: Solve for x
   x = 1,371,739,369/25,180
6. Step 6: Final answer
   x = 54,477.34