Finding the Third Proportional to 5,006.25 and 7,365.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,006.25 : 7,365.38 = 7,365.38 : x
2. Step 2: Convert to fraction form
   5,006.25/7,365.38 = 7,365.38/x
3. Step 3: Cross multiply
   5,006.25x = 7,365.38 × 7,365.38
4. Step 4: Simplify right side
   5,006.25x = 54,248,748.89
5. Step 5: Solve for x
   x = 54,248,748.89/5,006.25
6. Step 6: Final answer
   x = 10,836.20