Finding the Third Proportional to 31,529 and 46,081

Step by Step Solution

1. Step 1: Write the proportion equation
   31,529 : 46,081 = 46,081 : x
2. Step 2: Convert to fraction form
   31,529/46,081 = 46,081/x
3. Step 3: Cross multiply
   31,529x = 46,081 × 46,081
4. Step 4: Simplify right side
   31,529x = 2,123,458,561
5. Step 5: Solve for x
   x = 2,123,458,561/31,529
6. Step 6: Final answer
   x = 67,349.38