Finding the Third Proportional to 2,802.09 and 4,647.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,802.09 : 4,647.38 = 4,647.38 : x
2. Step 2: Convert to fraction form
   2,802.09/4,647.38 = 4,647.38/x
3. Step 3: Cross multiply
   2,802.09x = 4,647.38 × 4,647.38
4. Step 4: Simplify right side
   2,802.09x = 21,598,094.39
5. Step 5: Solve for x
   x = 21,598,094.39/2,802.09
6. Step 6: Final answer
   x = 7,707.84