Finding the Third Proportional to 39,176 and 57,123

Step by Step Solution

1. Step 1: Write the proportion equation
   39,176 : 57,123 = 57,123 : x
2. Step 2: Convert to fraction form
   39,176/57,123 = 57,123/x
3. Step 3: Cross multiply
   39,176x = 57,123 × 57,123
4. Step 4: Simplify right side
   39,176x = 3,263,037,129
5. Step 5: Solve for x
   x = 3,263,037,129/39,176
6. Step 6: Final answer
   x = 83,291.74