Finding the Third Proportional to 32,966 and 51,123

Step by Step Solution

1. Step 1: Write the proportion equation
   32,966 : 51,123 = 51,123 : x
2. Step 2: Convert to fraction form
   32,966/51,123 = 51,123/x
3. Step 3: Cross multiply
   32,966x = 51,123 × 51,123
4. Step 4: Simplify right side
   32,966x = 2,613,561,129
5. Step 5: Solve for x
   x = 2,613,561,129/32,966
6. Step 6: Final answer
   x = 79,280.51