Finding the Third Proportional to 41,152 and 58,268

Step by Step Solution

1. Step 1: Write the proportion equation
   41,152 : 58,268 = 58,268 : x
2. Step 2: Convert to fraction form
   41,152/58,268 = 58,268/x
3. Step 3: Cross multiply
   41,152x = 58,268 × 58,268
4. Step 4: Simplify right side
   41,152x = 3,395,159,824
5. Step 5: Solve for x
   x = 3,395,159,824/41,152
6. Step 6: Final answer
   x = 82,502.91