Finding the Third Proportional to 1,546.69 and 3,438.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,546.69 : 3,438.38 = 3,438.38 : x
2. Step 2: Convert to fraction form
   1,546.69/3,438.38 = 3,438.38/x
3. Step 3: Cross multiply
   1,546.69x = 3,438.38 × 3,438.38
4. Step 4: Simplify right side
   1,546.69x = 11,822,422.64
5. Step 5: Solve for x
   x = 11,822,422.64/1,546.69
6. Step 6: Final answer
   x = 7,643.70