Finding the Third Proportional to 35,546 and 82,290

Step by Step Solution

1. Step 1: Write the proportion equation
   35,546 : 82,290 = 82,290 : x
2. Step 2: Convert to fraction form
   35,546/82,290 = 82,290/x
3. Step 3: Cross multiply
   35,546x = 82,290 × 82,290
4. Step 4: Simplify right side
   35,546x = 6,771,644,100
5. Step 5: Solve for x
   x = 6,771,644,100/35,546
6. Step 6: Final answer
   x = 190,503.69