Finding the Third Proportional to 38,413 and 83,831

Step by Step Solution

1. Step 1: Write the proportion equation
   38,413 : 83,831 = 83,831 : x
2. Step 2: Convert to fraction form
   38,413/83,831 = 83,831/x
3. Step 3: Cross multiply
   38,413x = 83,831 × 83,831
4. Step 4: Simplify right side
   38,413x = 7,027,636,561
5. Step 5: Solve for x
   x = 7,027,636,561/38,413
6. Step 6: Final answer
   x = 182,949.43