Finding the Third Proportional to 2,768.34 and 3,729.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,768.34 : 3,729.59 = 3,729.59 : x
2. Step 2: Convert to fraction form
   2,768.34/3,729.59 = 3,729.59/x
3. Step 3: Cross multiply
   2,768.34x = 3,729.59 × 3,729.59
4. Step 4: Simplify right side
   2,768.34x = 13,909,811.27
5. Step 5: Solve for x
   x = 13,909,811.27/2,768.34
6. Step 6: Final answer
   x = 5,024.60