Finding the Third Proportional to 35,042 and 76,886

Step by Step Solution

1. Step 1: Write the proportion equation
   35,042 : 76,886 = 76,886 : x
2. Step 2: Convert to fraction form
   35,042/76,886 = 76,886/x
3. Step 3: Cross multiply
   35,042x = 76,886 × 76,886
4. Step 4: Simplify right side
   35,042x = 5,911,456,996
5. Step 5: Solve for x
   x = 5,911,456,996/35,042
6. Step 6: Final answer
   x = 168,696.34