Finding the Third Proportional to 1,504.62 and 2,213.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,504.62 : 2,213.37 = 2,213.37 : x
2. Step 2: Convert to fraction form
   1,504.62/2,213.37 = 2,213.37/x
3. Step 3: Cross multiply
   1,504.62x = 2,213.37 × 2,213.37
4. Step 4: Simplify right side
   1,504.62x = 4,898,994.31
5. Step 5: Solve for x
   x = 4,898,994.31/1,504.62
6. Step 6: Final answer
   x = 3,255.97