Finding the Third Proportional to 30,680 and 71,696

Step by Step Solution

1. Step 1: Write the proportion equation
   30,680 : 71,696 = 71,696 : x
2. Step 2: Convert to fraction form
   30,680/71,696 = 71,696/x
3. Step 3: Cross multiply
   30,680x = 71,696 × 71,696
4. Step 4: Simplify right side
   30,680x = 5,140,316,416
5. Step 5: Solve for x
   x = 5,140,316,416/30,680
6. Step 6: Final answer
   x = 167,546.17