Finding the Third Proportional to 3,554.16 and 7,738.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,554.16 : 7,738.59 = 7,738.59 : x
2. Step 2: Convert to fraction form
   3,554.16/7,738.59 = 7,738.59/x
3. Step 3: Cross multiply
   3,554.16x = 7,738.59 × 7,738.59
4. Step 4: Simplify right side
   3,554.16x = 59,885,833.23
5. Step 5: Solve for x
   x = 59,885,833.23/3,554.16
6. Step 6: Final answer
   x = 16,849.52