Finding the Third Proportional to 1,702.69 and 1,985.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,702.69 : 1,985.34 = 1,985.34 : x
2. Step 2: Convert to fraction form
   1,702.69/1,985.34 = 1,985.34/x
3. Step 3: Cross multiply
   1,702.69x = 1,985.34 × 1,985.34
4. Step 4: Simplify right side
   1,702.69x = 3,941,589.81
5. Step 5: Solve for x
   x = 3,941,589.81/1,702.69
6. Step 6: Final answer
   x = 2,314.92