Finding the Third Proportional to 10,827 and 17,165.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,827 : 17,165.25 = 17,165.25 : x
2. Step 2: Convert to fraction form
   10,827/17,165.25 = 17,165.25/x
3. Step 3: Cross multiply
   10,827x = 17,165.25 × 17,165.25
4. Step 4: Simplify right side
   10,827x = 294,645,807.56
5. Step 5: Solve for x
   x = 294,645,807.56/10,827
6. Step 6: Final answer
   x = 27,213.98