Finding the Third Proportional to 37,616 and 82,648

Step by Step Solution

1. Step 1: Write the proportion equation
   37,616 : 82,648 = 82,648 : x
2. Step 2: Convert to fraction form
   37,616/82,648 = 82,648/x
3. Step 3: Cross multiply
   37,616x = 82,648 × 82,648
4. Step 4: Simplify right side
   37,616x = 6,830,691,904
5. Step 5: Solve for x
   x = 6,830,691,904/37,616
6. Step 6: Final answer
   x = 181,590.07