Finding the Third Proportional to 36,175 and 75,123

Step by Step Solution

1. Step 1: Write the proportion equation
   36,175 : 75,123 = 75,123 : x
2. Step 2: Convert to fraction form
   36,175/75,123 = 75,123/x
3. Step 3: Cross multiply
   36,175x = 75,123 × 75,123
4. Step 4: Simplify right side
   36,175x = 5,643,465,129
5. Step 5: Solve for x
   x = 5,643,465,129/36,175
6. Step 6: Final answer
   x = 156,004.56