Finding the Third Proportional to 10,782.28 and 16,736.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,782.28 : 16,736.63 = 16,736.63 : x
2. Step 2: Convert to fraction form
   10,782.28/16,736.63 = 16,736.63/x
3. Step 3: Cross multiply
   10,782.28x = 16,736.63 × 16,736.63
4. Step 4: Simplify right side
   10,782.28x = 280,114,616.39
5. Step 5: Solve for x
   x = 280,114,616.39/10,782.28
6. Step 6: Final answer
   x = 25,979.16