Finding the Third Proportional to 35,756 and 78,424

Step by Step Solution

1. Step 1: Write the proportion equation
   35,756 : 78,424 = 78,424 : x
2. Step 2: Convert to fraction form
   35,756/78,424 = 78,424/x
3. Step 3: Cross multiply
   35,756x = 78,424 × 78,424
4. Step 4: Simplify right side
   35,756x = 6,150,323,776
5. Step 5: Solve for x
   x = 6,150,323,776/35,756
6. Step 6: Final answer
   x = 172,008.16