Finding the Third Proportional to 10,692 and 16,493.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,692 : 16,493.63 = 16,493.63 : x
2. Step 2: Convert to fraction form
   10,692/16,493.63 = 16,493.63/x
3. Step 3: Cross multiply
   10,692x = 16,493.63 × 16,493.63
4. Step 4: Simplify right side
   10,692x = 272,039,665.64
5. Step 5: Solve for x
   x = 272,039,665.64/10,692
6. Step 6: Final answer
   x = 25,443.29