Finding the Third Proportional to 12,846 and 28,209

Step by Step Solution

1. Step 1: Write the proportion equation
   12,846 : 28,209 = 28,209 : x
2. Step 2: Convert to fraction form
   12,846/28,209 = 28,209/x
3. Step 3: Cross multiply
   12,846x = 28,209 × 28,209
4. Step 4: Simplify right side
   12,846x = 795,747,681
5. Step 5: Solve for x
   x = 795,747,681/12,846
6. Step 6: Final answer
   x = 61,945.17