Finding the Third Proportional to 39,800 and 83,696

Step by Step Solution

1. Step 1: Write the proportion equation
   39,800 : 83,696 = 83,696 : x
2. Step 2: Convert to fraction form
   39,800/83,696 = 83,696/x
3. Step 3: Cross multiply
   39,800x = 83,696 × 83,696
4. Step 4: Simplify right side
   39,800x = 7,005,020,416
5. Step 5: Solve for x
   x = 7,005,020,416/39,800
6. Step 6: Final answer
   x = 176,005.54