Finding the Third Proportional to 12,846 and 20,538

Step by Step Solution

1. Step 1: Write the proportion equation
   12,846 : 20,538 = 20,538 : x
2. Step 2: Convert to fraction form
   12,846/20,538 = 20,538/x
3. Step 3: Cross multiply
   12,846x = 20,538 × 20,538
4. Step 4: Simplify right side
   12,846x = 421,809,444
5. Step 5: Solve for x
   x = 421,809,444/12,846
6. Step 6: Final answer
   x = 32,835.86