Finding the Third Proportional to 1,693.69 and 3,619.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,693.69 : 3,619.69 = 3,619.69 : x
2. Step 2: Convert to fraction form
   1,693.69/3,619.69 = 3,619.69/x
3. Step 3: Cross multiply
   1,693.69x = 3,619.69 × 3,619.69
4. Step 4: Simplify right side
   1,693.69x = 13,102,137.60
5. Step 5: Solve for x
   x = 13,102,137.60/1,693.69
6. Step 6: Final answer
   x = 7,735.86