Finding the Third Proportional to 35,296 and 69,696

Step by Step Solution

1. Step 1: Write the proportion equation
   35,296 : 69,696 = 69,696 : x
2. Step 2: Convert to fraction form
   35,296/69,696 = 69,696/x
3. Step 3: Cross multiply
   35,296x = 69,696 × 69,696
4. Step 4: Simplify right side
   35,296x = 4,857,532,416
5. Step 5: Solve for x
   x = 4,857,532,416/35,296
6. Step 6: Final answer
   x = 137,622.75