Finding the Third Proportional to 12,874 and 28,180

Step by Step Solution

1. Step 1: Write the proportion equation
   12,874 : 28,180 = 28,180 : x
2. Step 2: Convert to fraction form
   12,874/28,180 = 28,180/x
3. Step 3: Cross multiply
   12,874x = 28,180 × 28,180
4. Step 4: Simplify right side
   12,874x = 794,112,400
5. Step 5: Solve for x
   x = 794,112,400/12,874
6. Step 6: Final answer
   x = 61,683.42