Finding the Third Proportional to 37,678.50 and 55,383.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,678.50 : 55,383.75 = 55,383.75 : x
2. Step 2: Convert to fraction form
   37,678.50/55,383.75 = 55,383.75/x
3. Step 3: Cross multiply
   37,678.50x = 55,383.75 × 55,383.75
4. Step 4: Simplify right side
   37,678.50x = 3,067,359,764.06
5. Step 5: Solve for x
   x = 3,067,359,764.06/37,678.50
6. Step 6: Final answer
   x = 81,408.75