Finding the Third Proportional to 2,132 and 3,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,132 : 3,185.50 = 3,185.50 : x
2. Step 2: Convert to fraction form
   2,132/3,185.50 = 3,185.50/x
3. Step 3: Cross multiply
   2,132x = 3,185.50 × 3,185.50
4. Step 4: Simplify right side
   2,132x = 10,147,410.25
5. Step 5: Solve for x
   x = 10,147,410.25/2,132
6. Step 6: Final answer
   x = 4,759.57