Finding the Third Proportional to 51,384 and 82,152

Step by Step Solution

1. Step 1: Write the proportion equation
   51,384 : 82,152 = 82,152 : x
2. Step 2: Convert to fraction form
   51,384/82,152 = 82,152/x
3. Step 3: Cross multiply
   51,384x = 82,152 × 82,152
4. Step 4: Simplify right side
   51,384x = 6,748,951,104
5. Step 5: Solve for x
   x = 6,748,951,104/51,384
6. Step 6: Final answer
   x = 131,343.44