Finding the Third Proportional to 52,939 and 82,003

Step by Step Solution

1. Step 1: Write the proportion equation
   52,939 : 82,003 = 82,003 : x
2. Step 2: Convert to fraction form
   52,939/82,003 = 82,003/x
3. Step 3: Cross multiply
   52,939x = 82,003 × 82,003
4. Step 4: Simplify right side
   52,939x = 6,724,492,009
5. Step 5: Solve for x
   x = 6,724,492,009/52,939
6. Step 6: Final answer
   x = 127,023.40