Finding the Third Proportional to 36,672 and 55,089

Step by Step Solution

1. Step 1: Write the proportion equation
   36,672 : 55,089 = 55,089 : x
2. Step 2: Convert to fraction form
   36,672/55,089 = 55,089/x
3. Step 3: Cross multiply
   36,672x = 55,089 × 55,089
4. Step 4: Simplify right side
   36,672x = 3,034,797,921
5. Step 5: Solve for x
   x = 3,034,797,921/36,672
6. Step 6: Final answer
   x = 82,755.18