Finding the Third Proportional to 51,082 and 76,692

Step by Step Solution

1. Step 1: Write the proportion equation
   51,082 : 76,692 = 76,692 : x
2. Step 2: Convert to fraction form
   51,082/76,692 = 76,692/x
3. Step 3: Cross multiply
   51,082x = 76,692 × 76,692
4. Step 4: Simplify right side
   51,082x = 5,881,662,864
5. Step 5: Solve for x
   x = 5,881,662,864/51,082
6. Step 6: Final answer
   x = 115,141.59