Finding the Third Proportional to 1,702.69 and 2,409.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,702.69 : 2,409.47 = 2,409.47 : x
2. Step 2: Convert to fraction form
   1,702.69/2,409.47 = 2,409.47/x
3. Step 3: Cross multiply
   1,702.69x = 2,409.47 × 2,409.47
4. Step 4: Simplify right side
   1,702.69x = 5,805,539.66
5. Step 5: Solve for x
   x = 5,805,539.66/1,702.69
6. Step 6: Final answer
   x = 3,409.63