Finding the Third Proportional to 10,078.50 and 16,180.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.50 : 16,180.88 = 16,180.88 : x
2. Step 2: Convert to fraction form
   10,078.50/16,180.88 = 16,180.88/x
3. Step 3: Cross multiply
   10,078.50x = 16,180.88 × 16,180.88
4. Step 4: Simplify right side
   10,078.50x = 261,820,715.77
5. Step 5: Solve for x
   x = 261,820,715.77/10,078.50
6. Step 6: Final answer
   x = 25,978.14