Finding the Third Proportional to 46,168 and 61,614

Step by Step Solution

1. Step 1: Write the proportion equation
   46,168 : 61,614 = 61,614 : x
2. Step 2: Convert to fraction form
   46,168/61,614 = 61,614/x
3. Step 3: Cross multiply
   46,168x = 61,614 × 61,614
4. Step 4: Simplify right side
   46,168x = 3,796,284,996
5. Step 5: Solve for x
   x = 3,796,284,996/46,168
6. Step 6: Final answer
   x = 82,227.63