Finding the Third Proportional to 37,628 and 82,996

Step by Step Solution

1. Step 1: Write the proportion equation
   37,628 : 82,996 = 82,996 : x
2. Step 2: Convert to fraction form
   37,628/82,996 = 82,996/x
3. Step 3: Cross multiply
   37,628x = 82,996 × 82,996
4. Step 4: Simplify right side
   37,628x = 6,888,336,016
5. Step 5: Solve for x
   x = 6,888,336,016/37,628
6. Step 6: Final answer
   x = 183,064.10