Finding the Third Proportional to 25,175 and 37,175

Step by Step Solution

1. Step 1: Write the proportion equation
   25,175 : 37,175 = 37,175 : x
2. Step 2: Convert to fraction form
   25,175/37,175 = 37,175/x
3. Step 3: Cross multiply
   25,175x = 37,175 × 37,175
4. Step 4: Simplify right side
   25,175x = 1,381,980,625
5. Step 5: Solve for x
   x = 1,381,980,625/25,175
6. Step 6: Final answer
   x = 54,894.96