Finding the Third Proportional to 34,138 and 53,004

Step by Step Solution

1. Step 1: Write the proportion equation
   34,138 : 53,004 = 53,004 : x
2. Step 2: Convert to fraction form
   34,138/53,004 = 53,004/x
3. Step 3: Cross multiply
   34,138x = 53,004 × 53,004
4. Step 4: Simplify right side
   34,138x = 2,809,424,016
5. Step 5: Solve for x
   x = 2,809,424,016/34,138
6. Step 6: Final answer
   x = 82,296.09