Finding the Third Proportional to 30,052 and 65,288

Step by Step Solution

1. Step 1: Write the proportion equation
   30,052 : 65,288 = 65,288 : x
2. Step 2: Convert to fraction form
   30,052/65,288 = 65,288/x
3. Step 3: Cross multiply
   30,052x = 65,288 × 65,288
4. Step 4: Simplify right side
   30,052x = 4,262,522,944
5. Step 5: Solve for x
   x = 4,262,522,944/30,052
6. Step 6: Final answer
   x = 141,838.25