Finding the Third Proportional to 12,646.50 and 27,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,646.50 : 27,721.50 = 27,721.50 : x
2. Step 2: Convert to fraction form
   12,646.50/27,721.50 = 27,721.50/x
3. Step 3: Cross multiply
   12,646.50x = 27,721.50 × 27,721.50
4. Step 4: Simplify right side
   12,646.50x = 768,481,562.25
5. Step 5: Solve for x
   x = 768,481,562.25/12,646.50
6. Step 6: Final answer
   x = 60,766.34