Finding the Third Proportional to 34,364 and 53,098

Step by Step Solution

1. Step 1: Write the proportion equation
   34,364 : 53,098 = 53,098 : x
2. Step 2: Convert to fraction form
   34,364/53,098 = 53,098/x
3. Step 3: Cross multiply
   34,364x = 53,098 × 53,098
4. Step 4: Simplify right side
   34,364x = 2,819,397,604
5. Step 5: Solve for x
   x = 2,819,397,604/34,364
6. Step 6: Final answer
   x = 82,045.09