Finding the Third Proportional to 1,729.95 and 3,709.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,729.95 : 3,709.78 = 3,709.78 : x
2. Step 2: Convert to fraction form
   1,729.95/3,709.78 = 3,709.78/x
3. Step 3: Cross multiply
   1,729.95x = 3,709.78 × 3,709.78
4. Step 4: Simplify right side
   1,729.95x = 13,762,498.66
5. Step 5: Solve for x
   x = 13,762,498.66/1,729.95
6. Step 6: Final answer
   x = 7,955.43