Finding the Third Proportional to 14,182 and 33,123

Step by Step Solution

1. Step 1: Write the proportion equation
   14,182 : 33,123 = 33,123 : x
2. Step 2: Convert to fraction form
   14,182/33,123 = 33,123/x
3. Step 3: Cross multiply
   14,182x = 33,123 × 33,123
4. Step 4: Simplify right side
   14,182x = 1,097,133,129
5. Step 5: Solve for x
   x = 1,097,133,129/14,182
6. Step 6: Final answer
   x = 77,360.96