Finding the Third Proportional to 9,040 and 13,382

Step by Step Solution

1. Step 1: Write the proportion equation
   9,040 : 13,382 = 13,382 : x
2. Step 2: Convert to fraction form
   9,040/13,382 = 13,382/x
3. Step 3: Cross multiply
   9,040x = 13,382 × 13,382
4. Step 4: Simplify right side
   9,040x = 179,077,924
5. Step 5: Solve for x
   x = 179,077,924/9,040
6. Step 6: Final answer
   x = 19,809.50