Finding the Third Proportional to 1,882.69 and 2,674.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,882.69 : 2,674.69 = 2,674.69 : x
2. Step 2: Convert to fraction form
   1,882.69/2,674.69 = 2,674.69/x
3. Step 3: Cross multiply
   1,882.69x = 2,674.69 × 2,674.69
4. Step 4: Simplify right side
   1,882.69x = 7,153,953.22
5. Step 5: Solve for x
   x = 7,153,953.22/1,882.69
6. Step 6: Final answer
   x = 3,799.86