Finding the Third Proportional to 38,357 and 83,834

Step by Step Solution

1. Step 1: Write the proportion equation
   38,357 : 83,834 = 83,834 : x
2. Step 2: Convert to fraction form
   38,357/83,834 = 83,834/x
3. Step 3: Cross multiply
   38,357x = 83,834 × 83,834
4. Step 4: Simplify right side
   38,357x = 7,028,139,556
5. Step 5: Solve for x
   x = 7,028,139,556/38,357
6. Step 6: Final answer
   x = 183,229.65