Finding the Third Proportional to 1,672.88 and 3,657.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,672.88 : 3,657.09 = 3,657.09 : x
2. Step 2: Convert to fraction form
   1,672.88/3,657.09 = 3,657.09/x
3. Step 3: Cross multiply
   1,672.88x = 3,657.09 × 3,657.09
4. Step 4: Simplify right side
   1,672.88x = 13,374,334.70
5. Step 5: Solve for x
   x = 13,374,334.70/1,672.88
6. Step 6: Final answer
   x = 7,994.82