Finding the Third Proportional to 35,219 and 76,410

Step by Step Solution

1. Step 1: Write the proportion equation
   35,219 : 76,410 = 76,410 : x
2. Step 2: Convert to fraction form
   35,219/76,410 = 76,410/x
3. Step 3: Cross multiply
   35,219x = 76,410 × 76,410
4. Step 4: Simplify right side
   35,219x = 5,838,488,100
5. Step 5: Solve for x
   x = 5,838,488,100/35,219
6. Step 6: Final answer
   x = 165,776.66