Finding the Third Proportional to 35,007 and 76,818

Step by Step Solution

1. Step 1: Write the proportion equation
   35,007 : 76,818 = 76,818 : x
2. Step 2: Convert to fraction form
   35,007/76,818 = 76,818/x
3. Step 3: Cross multiply
   35,007x = 76,818 × 76,818
4. Step 4: Simplify right side
   35,007x = 5,901,005,124
5. Step 5: Solve for x
   x = 5,901,005,124/35,007
6. Step 6: Final answer
   x = 168,566.43