Finding the Third Proportional to 23,274 and 49,175

Step by Step Solution

1. Step 1: Write the proportion equation
   23,274 : 49,175 = 49,175 : x
2. Step 2: Convert to fraction form
   23,274/49,175 = 49,175/x
3. Step 3: Cross multiply
   23,274x = 49,175 × 49,175
4. Step 4: Simplify right side
   23,274x = 2,418,180,625
5. Step 5: Solve for x
   x = 2,418,180,625/23,274
6. Step 6: Final answer
   x = 103,900.52