Finding the Third Proportional to 40,500 and 83,004

Step by Step Solution

1. Step 1: Write the proportion equation
   40,500 : 83,004 = 83,004 : x
2. Step 2: Convert to fraction form
   40,500/83,004 = 83,004/x
3. Step 3: Cross multiply
   40,500x = 83,004 × 83,004
4. Step 4: Simplify right side
   40,500x = 6,889,664,016
5. Step 5: Solve for x
   x = 6,889,664,016/40,500
6. Step 6: Final answer
   x = 170,115.16