Finding the Third Proportional to 8,046 and 12,835

Step by Step Solution

1. Step 1: Write the proportion equation
   8,046 : 12,835 = 12,835 : x
2. Step 2: Convert to fraction form
   8,046/12,835 = 12,835/x
3. Step 3: Cross multiply
   8,046x = 12,835 × 12,835
4. Step 4: Simplify right side
   8,046x = 164,737,225
5. Step 5: Solve for x
   x = 164,737,225/8,046
6. Step 6: Final answer
   x = 20,474.43