Finding the Third Proportional to 25,174 and 37,174

Step by Step Solution

1. Step 1: Write the proportion equation
   25,174 : 37,174 = 37,174 : x
2. Step 2: Convert to fraction form
   25,174/37,174 = 37,174/x
3. Step 3: Cross multiply
   25,174x = 37,174 × 37,174
4. Step 4: Simplify right side
   25,174x = 1,381,906,276
5. Step 5: Solve for x
   x = 1,381,906,276/25,174
6. Step 6: Final answer
   x = 54,894.19