Finding the Third Proportional to 1,976.91 and 3,213.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,976.91 : 3,213.42 = 3,213.42 : x
2. Step 2: Convert to fraction form
   1,976.91/3,213.42 = 3,213.42/x
3. Step 3: Cross multiply
   1,976.91x = 3,213.42 × 3,213.42
4. Step 4: Simplify right side
   1,976.91x = 10,326,080.15
5. Step 5: Solve for x
   x = 10,326,080.15/1,976.91
6. Step 6: Final answer
   x = 5,223.35