Finding the Third Proportional to 34,944 and 82,208

Step by Step Solution

1. Step 1: Write the proportion equation
   34,944 : 82,208 = 82,208 : x
2. Step 2: Convert to fraction form
   34,944/82,208 = 82,208/x
3. Step 3: Cross multiply
   34,944x = 82,208 × 82,208
4. Step 4: Simplify right side
   34,944x = 6,758,155,264
5. Step 5: Solve for x
   x = 6,758,155,264/34,944
6. Step 6: Final answer
   x = 193,399.59