Finding the Third Proportional to 27,678.56 and 39,003.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,678.56 : 39,003.75 = 39,003.75 : x
2. Step 2: Convert to fraction form
   27,678.56/39,003.75 = 39,003.75/x
3. Step 3: Cross multiply
   27,678.56x = 39,003.75 × 39,003.75
4. Step 4: Simplify right side
   27,678.56x = 1,521,292,514.06
5. Step 5: Solve for x
   x = 1,521,292,514.06/27,678.56
6. Step 6: Final answer
   x = 54,962.84