Finding the Third Proportional to 11,673.75 and 17,780.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,673.75 : 17,780.25 = 17,780.25 : x
2. Step 2: Convert to fraction form
   11,673.75/17,780.25 = 17,780.25/x
3. Step 3: Cross multiply
   11,673.75x = 17,780.25 × 17,780.25
4. Step 4: Simplify right side
   11,673.75x = 316,137,290.06
5. Step 5: Solve for x
   x = 316,137,290.06/11,673.75
6. Step 6: Final answer
   x = 27,081.04