Finding the Third Proportional to 4,784.38 and 7,009.51

Step by Step Solution

1. Step 1: Write the proportion equation
   4,784.38 : 7,009.51 = 7,009.51 : x
2. Step 2: Convert to fraction form
   4,784.38/7,009.51 = 7,009.51/x
3. Step 3: Cross multiply
   4,784.38x = 7,009.51 × 7,009.51
4. Step 4: Simplify right side
   4,784.38x = 49,133,172.39
5. Step 5: Solve for x
   x = 49,133,172.39/4,784.38
6. Step 6: Final answer
   x = 10,269.50