Finding the Third Proportional to 36,831 and 58,412

Step by Step Solution

1. Step 1: Write the proportion equation
   36,831 : 58,412 = 58,412 : x
2. Step 2: Convert to fraction form
   36,831/58,412 = 58,412/x
3. Step 3: Cross multiply
   36,831x = 58,412 × 58,412
4. Step 4: Simplify right side
   36,831x = 3,411,961,744
5. Step 5: Solve for x
   x = 3,411,961,744/36,831
6. Step 6: Final answer
   x = 92,638.31