Finding the Third Proportional to 10,974 and 16,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974 : 16,219.50 = 16,219.50 : x
2. Step 2: Convert to fraction form
   10,974/16,219.50 = 16,219.50/x
3. Step 3: Cross multiply
   10,974x = 16,219.50 × 16,219.50
4. Step 4: Simplify right side
   10,974x = 263,072,180.25
5. Step 5: Solve for x
   x = 263,072,180.25/10,974
6. Step 6: Final answer
   x = 23,972.31