Finding the Third Proportional to 20,184 and 30,123

Step by Step Solution

1. Step 1: Write the proportion equation
   20,184 : 30,123 = 30,123 : x
2. Step 2: Convert to fraction form
   20,184/30,123 = 30,123/x
3. Step 3: Cross multiply
   20,184x = 30,123 × 30,123
4. Step 4: Simplify right side
   20,184x = 907,395,129
5. Step 5: Solve for x
   x = 907,395,129/20,184
6. Step 6: Final answer
   x = 44,956.16