Finding the Third Proportional to 46,419 and 67,644

Step by Step Solution

1. Step 1: Write the proportion equation
   46,419 : 67,644 = 67,644 : x
2. Step 2: Convert to fraction form
   46,419/67,644 = 67,644/x
3. Step 3: Cross multiply
   46,419x = 67,644 × 67,644
4. Step 4: Simplify right side
   46,419x = 4,575,710,736
5. Step 5: Solve for x
   x = 4,575,710,736/46,419
6. Step 6: Final answer
   x = 98,574.09