Finding the Third Proportional to 1,702.69 and 3,677.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,702.69 : 3,677.06 = 3,677.06 : x
2. Step 2: Convert to fraction form
   1,702.69/3,677.06 = 3,677.06/x
3. Step 3: Cross multiply
   1,702.69x = 3,677.06 × 3,677.06
4. Step 4: Simplify right side
   1,702.69x = 13,520,788.63
5. Step 5: Solve for x
   x = 13,520,788.63/1,702.69
6. Step 6: Final answer
   x = 7,940.85