Finding the Third Proportional to 1,682.02 and 2,316.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,682.02 : 2,316.09 = 2,316.09 : x
2. Step 2: Convert to fraction form
   1,682.02/2,316.09 = 2,316.09/x
3. Step 3: Cross multiply
   1,682.02x = 2,316.09 × 2,316.09
4. Step 4: Simplify right side
   1,682.02x = 5,364,290.26
5. Step 5: Solve for x
   x = 5,364,290.26/1,682.02
6. Step 6: Final answer
   x = 3,189.20