Finding the Third Proportional to 10,834.25 and 16,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,834.25 : 16,180.50 = 16,180.50 : x
2. Step 2: Convert to fraction form
   10,834.25/16,180.50 = 16,180.50/x
3. Step 3: Cross multiply
   10,834.25x = 16,180.50 × 16,180.50
4. Step 4: Simplify right side
   10,834.25x = 261,808,580.25
5. Step 5: Solve for x
   x = 261,808,580.25/10,834.25
6. Step 6: Final answer
   x = 24,164.90