Finding the Third Proportional to 1,467.38 and 2,609.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,467.38 : 2,609.63 = 2,609.63 : x
2. Step 2: Convert to fraction form
   1,467.38/2,609.63 = 2,609.63/x
3. Step 3: Cross multiply
   1,467.38x = 2,609.63 × 2,609.63
4. Step 4: Simplify right side
   1,467.38x = 6,810,142.64
5. Step 5: Solve for x
   x = 6,810,142.64/1,467.38
6. Step 6: Final answer
   x = 4,641.04