Finding the Third Proportional to 10,970 and 16,450

Step by Step Solution

1. Step 1: Write the proportion equation
   10,970 : 16,450 = 16,450 : x
2. Step 2: Convert to fraction form
   10,970/16,450 = 16,450/x
3. Step 3: Cross multiply
   10,970x = 16,450 × 16,450
4. Step 4: Simplify right side
   10,970x = 270,602,500
5. Step 5: Solve for x
   x = 270,602,500/10,970
6. Step 6: Final answer
   x = 24,667.50