Finding the Third Proportional to 1,346.91 and 2,080.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,346.91 : 2,080.41 = 2,080.41 : x
2. Step 2: Convert to fraction form
   1,346.91/2,080.41 = 2,080.41/x
3. Step 3: Cross multiply
   1,346.91x = 2,080.41 × 2,080.41
4. Step 4: Simplify right side
   1,346.91x = 4,328,090.17
5. Step 5: Solve for x
   x = 4,328,090.17/1,346.91
6. Step 6: Final answer
   x = 3,213.36