Finding the Third Proportional to 34,736 and 53,805

Step by Step Solution

1. Step 1: Write the proportion equation
   34,736 : 53,805 = 53,805 : x
2. Step 2: Convert to fraction form
   34,736/53,805 = 53,805/x
3. Step 3: Cross multiply
   34,736x = 53,805 × 53,805
4. Step 4: Simplify right side
   34,736x = 2,894,978,025
5. Step 5: Solve for x
   x = 2,894,978,025/34,736
6. Step 6: Final answer
   x = 83,342.30