Finding the Third Proportional to 15,678 and 21,974

Step by Step Solution

1. Step 1: Write the proportion equation
   15,678 : 21,974 = 21,974 : x
2. Step 2: Convert to fraction form
   15,678/21,974 = 21,974/x
3. Step 3: Cross multiply
   15,678x = 21,974 × 21,974
4. Step 4: Simplify right side
   15,678x = 482,856,676
5. Step 5: Solve for x
   x = 482,856,676/15,678
6. Step 6: Final answer
   x = 30,798.36