Finding the Third Proportional to 33,250 and 51,123

Step by Step Solution

1. Step 1: Write the proportion equation
   33,250 : 51,123 = 51,123 : x
2. Step 2: Convert to fraction form
   33,250/51,123 = 51,123/x
3. Step 3: Cross multiply
   33,250x = 51,123 × 51,123
4. Step 4: Simplify right side
   33,250x = 2,613,561,129
5. Step 5: Solve for x
   x = 2,613,561,129/33,250
6. Step 6: Final answer
   x = 78,603.34