Finding the Third Proportional to 39,024 and 83,904

Step by Step Solution

1. Step 1: Write the proportion equation
   39,024 : 83,904 = 83,904 : x
2. Step 2: Convert to fraction form
   39,024/83,904 = 83,904/x
3. Step 3: Cross multiply
   39,024x = 83,904 × 83,904
4. Step 4: Simplify right side
   39,024x = 7,039,881,216
5. Step 5: Solve for x
   x = 7,039,881,216/39,024
6. Step 6: Final answer
   x = 180,398.76