Finding the Third Proportional to 12,784 and 20,058

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784 : 20,058 = 20,058 : x
2. Step 2: Convert to fraction form
   12,784/20,058 = 20,058/x
3. Step 3: Cross multiply
   12,784x = 20,058 × 20,058
4. Step 4: Simplify right side
   12,784x = 402,323,364
5. Step 5: Solve for x
   x = 402,323,364/12,784
6. Step 6: Final answer
   x = 31,470.85