Finding the Third Proportional to 10,235.25 and 13,165.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,235.25 : 13,165.88 = 13,165.88 : x
2. Step 2: Convert to fraction form
   10,235.25/13,165.88 = 13,165.88/x
3. Step 3: Cross multiply
   10,235.25x = 13,165.88 × 13,165.88
4. Step 4: Simplify right side
   10,235.25x = 173,340,264.52
5. Step 5: Solve for x
   x = 173,340,264.52/10,235.25
6. Step 6: Final answer
   x = 16,935.62