Finding the Third Proportional to 10,182.38 and 13,253.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182.38 : 13,253.63 = 13,253.63 : x
2. Step 2: Convert to fraction form
   10,182.38/13,253.63 = 13,253.63/x
3. Step 3: Cross multiply
   10,182.38x = 13,253.63 × 13,253.63
4. Step 4: Simplify right side
   10,182.38x = 175,658,575.64
5. Step 5: Solve for x
   x = 175,658,575.64/10,182.38
6. Step 6: Final answer
   x = 17,251.24