Finding the Third Proportional to 12,614 and 19,745

Step by Step Solution

1. Step 1: Write the proportion equation
   12,614 : 19,745 = 19,745 : x
2. Step 2: Convert to fraction form
   12,614/19,745 = 19,745/x
3. Step 3: Cross multiply
   12,614x = 19,745 × 19,745
4. Step 4: Simplify right side
   12,614x = 389,865,025
5. Step 5: Solve for x
   x = 389,865,025/12,614
6. Step 6: Final answer
   x = 30,907.33