Finding the Third Proportional to 2,032 and 3,212

Step by Step Solution

1. Step 1: Write the proportion equation
   2,032 : 3,212 = 3,212 : x
2. Step 2: Convert to fraction form
   2,032/3,212 = 3,212/x
3. Step 3: Cross multiply
   2,032x = 3,212 × 3,212
4. Step 4: Simplify right side
   2,032x = 10,316,944
5. Step 5: Solve for x
   x = 10,316,944/2,032
6. Step 6: Final answer
   x = 5,077.24