Finding the Third Proportional to 1,690.88 and 3,641.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,690.88 : 3,641.84 = 3,641.84 : x
2. Step 2: Convert to fraction form
   1,690.88/3,641.84 = 3,641.84/x
3. Step 3: Cross multiply
   1,690.88x = 3,641.84 × 3,641.84
4. Step 4: Simplify right side
   1,690.88x = 13,262,969.00
5. Step 5: Solve for x
   x = 13,262,969.00/1,690.88
6. Step 6: Final answer
   x = 7,843.85