Finding the Third Proportional to 38,356 and 83,885

Step by Step Solution

1. Step 1: Write the proportion equation
   38,356 : 83,885 = 83,885 : x
2. Step 2: Convert to fraction form
   38,356/83,885 = 83,885/x
3. Step 3: Cross multiply
   38,356x = 83,885 × 83,885
4. Step 4: Simplify right side
   38,356x = 7,036,693,225
5. Step 5: Solve for x
   x = 7,036,693,225/38,356
6. Step 6: Final answer
   x = 183,457.43