Finding the Third Proportional to 12,580 and 27,648

Step by Step Solution

1. Step 1: Write the proportion equation
   12,580 : 27,648 = 27,648 : x
2. Step 2: Convert to fraction form
   12,580/27,648 = 27,648/x
3. Step 3: Cross multiply
   12,580x = 27,648 × 27,648
4. Step 4: Simplify right side
   12,580x = 764,411,904
5. Step 5: Solve for x
   x = 764,411,904/12,580
6. Step 6: Final answer
   x = 60,764.06