Finding the Third Proportional to 31,872 and 65,152

Step by Step Solution

1. Step 1: Write the proportion equation
   31,872 : 65,152 = 65,152 : x
2. Step 2: Convert to fraction form
   31,872/65,152 = 65,152/x
3. Step 3: Cross multiply
   31,872x = 65,152 × 65,152
4. Step 4: Simplify right side
   31,872x = 4,244,783,104
5. Step 5: Solve for x
   x = 4,244,783,104/31,872
6. Step 6: Final answer
   x = 133,182.20