Finding the Third Proportional to 35,578 and 50,058

Step by Step Solution

1. Step 1: Write the proportion equation
   35,578 : 50,058 = 50,058 : x
2. Step 2: Convert to fraction form
   35,578/50,058 = 50,058/x
3. Step 3: Cross multiply
   35,578x = 50,058 × 50,058
4. Step 4: Simplify right side
   35,578x = 2,505,803,364
5. Step 5: Solve for x
   x = 2,505,803,364/35,578
6. Step 6: Final answer
   x = 70,431.26