Finding the Third Proportional to 38,739 and 83,997

Step by Step Solution

1. Step 1: Write the proportion equation
   38,739 : 83,997 = 83,997 : x
2. Step 2: Convert to fraction form
   38,739/83,997 = 83,997/x
3. Step 3: Cross multiply
   38,739x = 83,997 × 83,997
4. Step 4: Simplify right side
   38,739x = 7,055,496,009
5. Step 5: Solve for x
   x = 7,055,496,009/38,739
6. Step 6: Final answer
   x = 182,129.02