Finding the Third Proportional to 13,768 and 30,175

Step by Step Solution

1. Step 1: Write the proportion equation
   13,768 : 30,175 = 30,175 : x
2. Step 2: Convert to fraction form
   13,768/30,175 = 30,175/x
3. Step 3: Cross multiply
   13,768x = 30,175 × 30,175
4. Step 4: Simplify right side
   13,768x = 910,530,625
5. Step 5: Solve for x
   x = 910,530,625/13,768
6. Step 6: Final answer
   x = 66,133.83