Finding the Third Proportional to 37,667 and 55,348

Step by Step Solution

1. Step 1: Write the proportion equation
   37,667 : 55,348 = 55,348 : x
2. Step 2: Convert to fraction form
   37,667/55,348 = 55,348/x
3. Step 3: Cross multiply
   37,667x = 55,348 × 55,348
4. Step 4: Simplify right side
   37,667x = 3,063,401,104
5. Step 5: Solve for x
   x = 3,063,401,104/37,667
6. Step 6: Final answer
   x = 81,328.51