Finding the Third Proportional to 37,314 and 82,004

Step by Step Solution

1. Step 1: Write the proportion equation
   37,314 : 82,004 = 82,004 : x
2. Step 2: Convert to fraction form
   37,314/82,004 = 82,004/x
3. Step 3: Cross multiply
   37,314x = 82,004 × 82,004
4. Step 4: Simplify right side
   37,314x = 6,724,656,016
5. Step 5: Solve for x
   x = 6,724,656,016/37,314
6. Step 6: Final answer
   x = 180,218.04