Finding the Third Proportional to 37,394 and 55,767

Step by Step Solution

1. Step 1: Write the proportion equation
   37,394 : 55,767 = 55,767 : x
2. Step 2: Convert to fraction form
   37,394/55,767 = 55,767/x
3. Step 3: Cross multiply
   37,394x = 55,767 × 55,767
4. Step 4: Simplify right side
   37,394x = 3,109,958,289
5. Step 5: Solve for x
   x = 3,109,958,289/37,394
6. Step 6: Final answer
   x = 83,167.31