Finding the Third Proportional to 10,434 and 16,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434 : 16,180.50 = 16,180.50 : x
2. Step 2: Convert to fraction form
   10,434/16,180.50 = 16,180.50/x
3. Step 3: Cross multiply
   10,434x = 16,180.50 × 16,180.50
4. Step 4: Simplify right side
   10,434x = 261,808,580.25
5. Step 5: Solve for x
   x = 261,808,580.25/10,434
6. Step 6: Final answer
   x = 25,091.87