Finding the Third Proportional to 34,816 and 82,172

Step by Step Solution

1. Step 1: Write the proportion equation
   34,816 : 82,172 = 82,172 : x
2. Step 2: Convert to fraction form
   34,816/82,172 = 82,172/x
3. Step 3: Cross multiply
   34,816x = 82,172 × 82,172
4. Step 4: Simplify right side
   34,816x = 6,752,237,584
5. Step 5: Solve for x
   x = 6,752,237,584/34,816
6. Step 6: Final answer
   x = 193,940.65