Finding the Third Proportional to 34,679 and 53,666

Step by Step Solution

1. Step 1: Write the proportion equation
   34,679 : 53,666 = 53,666 : x
2. Step 2: Convert to fraction form
   34,679/53,666 = 53,666/x
3. Step 3: Cross multiply
   34,679x = 53,666 × 53,666
4. Step 4: Simplify right side
   34,679x = 2,880,039,556
5. Step 5: Solve for x
   x = 2,880,039,556/34,679
6. Step 6: Final answer
   x = 83,048.52