Finding the Third Proportional to 39,882 and 83,895

Step by Step Solution

1. Step 1: Write the proportion equation
   39,882 : 83,895 = 83,895 : x
2. Step 2: Convert to fraction form
   39,882/83,895 = 83,895/x
3. Step 3: Cross multiply
   39,882x = 83,895 × 83,895
4. Step 4: Simplify right side
   39,882x = 7,038,371,025
5. Step 5: Solve for x
   x = 7,038,371,025/39,882
6. Step 6: Final answer
   x = 176,479.89