Finding the Third Proportional to 37,540 and 54,858

Step by Step Solution

1. Step 1: Write the proportion equation
   37,540 : 54,858 = 54,858 : x
2. Step 2: Convert to fraction form
   37,540/54,858 = 54,858/x
3. Step 3: Cross multiply
   37,540x = 54,858 × 54,858
4. Step 4: Simplify right side
   37,540x = 3,009,400,164
5. Step 5: Solve for x
   x = 3,009,400,164/37,540
6. Step 6: Final answer
   x = 80,165.16