Finding the Third Proportional to 10,080.75 and 16,184.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,080.75 : 16,184.63 = 16,184.63 : x
2. Step 2: Convert to fraction form
   10,080.75/16,184.63 = 16,184.63/x
3. Step 3: Cross multiply
   10,080.75x = 16,184.63 × 16,184.63
4. Step 4: Simplify right side
   10,080.75x = 261,942,086.39
5. Step 5: Solve for x
   x = 261,942,086.39/10,080.75
6. Step 6: Final answer
   x = 25,984.38