Finding the Third Proportional to 46,694 and 71,410

Step by Step Solution

1. Step 1: Write the proportion equation
   46,694 : 71,410 = 71,410 : x
2. Step 2: Convert to fraction form
   46,694/71,410 = 71,410/x
3. Step 3: Cross multiply
   46,694x = 71,410 × 71,410
4. Step 4: Simplify right side
   46,694x = 5,099,388,100
5. Step 5: Solve for x
   x = 5,099,388,100/46,694
6. Step 6: Final answer
   x = 109,208.64