Finding the Third Proportional to 37,776.75 and 55,620.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,776.75 : 55,620.75 = 55,620.75 : x
2. Step 2: Convert to fraction form
   37,776.75/55,620.75 = 55,620.75/x
3. Step 3: Cross multiply
   37,776.75x = 55,620.75 × 55,620.75
4. Step 4: Simplify right side
   37,776.75x = 3,093,667,830.56
5. Step 5: Solve for x
   x = 3,093,667,830.56/37,776.75
6. Step 6: Final answer
   x = 81,893.44