Finding the Third Proportional to 34,674 and 53,540

Step by Step Solution

1. Step 1: Write the proportion equation
   34,674 : 53,540 = 53,540 : x
2. Step 2: Convert to fraction form
   34,674/53,540 = 53,540/x
3. Step 3: Cross multiply
   34,674x = 53,540 × 53,540
4. Step 4: Simplify right side
   34,674x = 2,866,531,600
5. Step 5: Solve for x
   x = 2,866,531,600/34,674
6. Step 6: Final answer
   x = 82,670.92