Finding the Third Proportional to 34,057 and 53,156

Step by Step Solution

1. Step 1: Write the proportion equation
   34,057 : 53,156 = 53,156 : x
2. Step 2: Convert to fraction form
   34,057/53,156 = 53,156/x
3. Step 3: Cross multiply
   34,057x = 53,156 × 53,156
4. Step 4: Simplify right side
   34,057x = 2,825,560,336
5. Step 5: Solve for x
   x = 2,825,560,336/34,057
6. Step 6: Final answer
   x = 82,965.63