Finding the Third Proportional to 2,696.73 and 5,780.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,696.73 : 5,780.74 = 5,780.74 : x
2. Step 2: Convert to fraction form
   2,696.73/5,780.74 = 5,780.74/x
3. Step 3: Cross multiply
   2,696.73x = 5,780.74 × 5,780.74
4. Step 4: Simplify right side
   2,696.73x = 33,416,980.24
5. Step 5: Solve for x
   x = 33,416,980.24/2,696.73
6. Step 6: Final answer
   x = 12,391.66