Finding the Third Proportional to 25,184 and 37,008

Step by Step Solution

1. Step 1: Write the proportion equation
   25,184 : 37,008 = 37,008 : x
2. Step 2: Convert to fraction form
   25,184/37,008 = 37,008/x
3. Step 3: Cross multiply
   25,184x = 37,008 × 37,008
4. Step 4: Simplify right side
   25,184x = 1,369,592,064
5. Step 5: Solve for x
   x = 1,369,592,064/25,184
6. Step 6: Final answer
   x = 54,383.42