Finding the Third Proportional to 3,412.13 and 3,754.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,412.13 : 3,754.69 = 3,754.69 : x
2. Step 2: Convert to fraction form
   3,412.13/3,754.69 = 3,754.69/x
3. Step 3: Cross multiply
   3,412.13x = 3,754.69 × 3,754.69
4. Step 4: Simplify right side
   3,412.13x = 14,097,678.22
5. Step 5: Solve for x
   x = 14,097,678.22/3,412.13
6. Step 6: Final answer
   x = 4,131.64