Finding the Third Proportional to 37,667 and 55,083

Step by Step Solution

1. Step 1: Write the proportion equation
   37,667 : 55,083 = 55,083 : x
2. Step 2: Convert to fraction form
   37,667/55,083 = 55,083/x
3. Step 3: Cross multiply
   37,667x = 55,083 × 55,083
4. Step 4: Simplify right side
   37,667x = 3,034,136,889
5. Step 5: Solve for x
   x = 3,034,136,889/37,667
6. Step 6: Final answer
   x = 80,551.59