Finding the Third Proportional to 12,766.50 and 27,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.50 : 27,586.50 = 27,586.50 : x
2. Step 2: Convert to fraction form
   12,766.50/27,586.50 = 27,586.50/x
3. Step 3: Cross multiply
   12,766.50x = 27,586.50 × 27,586.50
4. Step 4: Simplify right side
   12,766.50x = 761,014,982.25
5. Step 5: Solve for x
   x = 761,014,982.25/12,766.50
6. Step 6: Final answer
   x = 59,610.31