Finding the Third Proportional to 5,295.38 and 7,781.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,295.38 : 7,781.06 = 7,781.06 : x
2. Step 2: Convert to fraction form
   5,295.38/7,781.06 = 7,781.06/x
3. Step 3: Cross multiply
   5,295.38x = 7,781.06 × 7,781.06
4. Step 4: Simplify right side
   5,295.38x = 60,544,933.63
5. Step 5: Solve for x
   x = 60,544,933.63/5,295.38
6. Step 6: Final answer
   x = 11,433.55