Finding the Third Proportional to 12,820 and 27,614

Step by Step Solution

1. Step 1: Write the proportion equation
   12,820 : 27,614 = 27,614 : x
2. Step 2: Convert to fraction form
   12,820/27,614 = 27,614/x
3. Step 3: Cross multiply
   12,820x = 27,614 × 27,614
4. Step 4: Simplify right side
   12,820x = 762,532,996
5. Step 5: Solve for x
   x = 762,532,996/12,820
6. Step 6: Final answer
   x = 59,479.95