Finding the Third Proportional to 34,566 and 53,469

Step by Step Solution

1. Step 1: Write the proportion equation
   34,566 : 53,469 = 53,469 : x
2. Step 2: Convert to fraction form
   34,566/53,469 = 53,469/x
3. Step 3: Cross multiply
   34,566x = 53,469 × 53,469
4. Step 4: Simplify right side
   34,566x = 2,858,933,961
5. Step 5: Solve for x
   x = 2,858,933,961/34,566
6. Step 6: Final answer
   x = 82,709.42