Finding the Third Proportional to 1,729.50 and 4,184.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,729.50 : 4,184.25 = 4,184.25 : x
2. Step 2: Convert to fraction form
   1,729.50/4,184.25 = 4,184.25/x
3. Step 3: Cross multiply
   1,729.50x = 4,184.25 × 4,184.25
4. Step 4: Simplify right side
   1,729.50x = 17,507,948.06
5. Step 5: Solve for x
   x = 17,507,948.06/1,729.50
6. Step 6: Final answer
   x = 10,123.13