Finding the Third Proportional to 52,916 and 82,004

Step by Step Solution

1. Step 1: Write the proportion equation
   52,916 : 82,004 = 82,004 : x
2. Step 2: Convert to fraction form
   52,916/82,004 = 82,004/x
3. Step 3: Cross multiply
   52,916x = 82,004 × 82,004
4. Step 4: Simplify right side
   52,916x = 6,724,656,016
5. Step 5: Solve for x
   x = 6,724,656,016/52,916
6. Step 6: Final answer
   x = 127,081.71