Finding the Third Proportional to 2,994.89 and 4,688.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,994.89 : 4,688.51 = 4,688.51 : x
2. Step 2: Convert to fraction form
   2,994.89/4,688.51 = 4,688.51/x
3. Step 3: Cross multiply
   2,994.89x = 4,688.51 × 4,688.51
4. Step 4: Simplify right side
   2,994.89x = 21,982,105.51
5. Step 5: Solve for x
   x = 21,982,105.51/2,994.89
6. Step 6: Final answer
   x = 7,339.87