Finding the Third Proportional to 41,142 and 58,248

Step by Step Solution

1. Step 1: Write the proportion equation
   41,142 : 58,248 = 58,248 : x
2. Step 2: Convert to fraction form
   41,142/58,248 = 58,248/x
3. Step 3: Cross multiply
   41,142x = 58,248 × 58,248
4. Step 4: Simplify right side
   41,142x = 3,392,829,504
5. Step 5: Solve for x
   x = 3,392,829,504/41,142
6. Step 6: Final answer
   x = 82,466.32