Finding the Third Proportional to 38,049 and 55,830

Step by Step Solution

1. Step 1: Write the proportion equation
   38,049 : 55,830 = 55,830 : x
2. Step 2: Convert to fraction form
   38,049/55,830 = 55,830/x
3. Step 3: Cross multiply
   38,049x = 55,830 × 55,830
4. Step 4: Simplify right side
   38,049x = 3,116,988,900
5. Step 5: Solve for x
   x = 3,116,988,900/38,049
6. Step 6: Final answer
   x = 81,920.39