Finding the Third Proportional to 35,374 and 76,886

Step by Step Solution

1. Step 1: Write the proportion equation
   35,374 : 76,886 = 76,886 : x
2. Step 2: Convert to fraction form
   35,374/76,886 = 76,886/x
3. Step 3: Cross multiply
   35,374x = 76,886 × 76,886
4. Step 4: Simplify right side
   35,374x = 5,911,456,996
5. Step 5: Solve for x
   x = 5,911,456,996/35,374
6. Step 6: Final answer
   x = 167,113.05