Finding the Third Proportional to 37,558 and 82,460

Step by Step Solution

1. Step 1: Write the proportion equation
   37,558 : 82,460 = 82,460 : x
2. Step 2: Convert to fraction form
   37,558/82,460 = 82,460/x
3. Step 3: Cross multiply
   37,558x = 82,460 × 82,460
4. Step 4: Simplify right side
   37,558x = 6,799,651,600
5. Step 5: Solve for x
   x = 6,799,651,600/37,558
6. Step 6: Final answer
   x = 181,044.03