Finding the Third Proportional to 34,864 and 76,410

Step by Step Solution

1. Step 1: Write the proportion equation
   34,864 : 76,410 = 76,410 : x
2. Step 2: Convert to fraction form
   34,864/76,410 = 76,410/x
3. Step 3: Cross multiply
   34,864x = 76,410 × 76,410
4. Step 4: Simplify right side
   34,864x = 5,838,488,100
5. Step 5: Solve for x
   x = 5,838,488,100/34,864
6. Step 6: Final answer
   x = 167,464.67