Finding the Third Proportional to 1,852.75 and 4,429.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,852.75 : 4,429.25 = 4,429.25 : x
2. Step 2: Convert to fraction form
   1,852.75/4,429.25 = 4,429.25/x
3. Step 3: Cross multiply
   1,852.75x = 4,429.25 × 4,429.25
4. Step 4: Simplify right side
   1,852.75x = 19,618,255.56
5. Step 5: Solve for x
   x = 19,618,255.56/1,852.75
6. Step 6: Final answer
   x = 10,588.72