Finding the Third Proportional to 2,032 and 3,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,032 : 3,735.50 = 3,735.50 : x
2. Step 2: Convert to fraction form
   2,032/3,735.50 = 3,735.50/x
3. Step 3: Cross multiply
   2,032x = 3,735.50 × 3,735.50
4. Step 4: Simplify right side
   2,032x = 13,953,960.25
5. Step 5: Solve for x
   x = 13,953,960.25/2,032
6. Step 6: Final answer
   x = 6,867.11