Finding the Third Proportional to 4,843.50 and 7,484.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,843.50 : 7,484.25 = 7,484.25 : x
2. Step 2: Convert to fraction form
   4,843.50/7,484.25 = 7,484.25/x
3. Step 3: Cross multiply
   4,843.50x = 7,484.25 × 7,484.25
4. Step 4: Simplify right side
   4,843.50x = 56,013,998.06
5. Step 5: Solve for x
   x = 56,013,998.06/4,843.50
6. Step 6: Final answer
   x = 11,564.78