Finding the Third Proportional to 37,082 and 76,754

Step by Step Solution

1. Step 1: Write the proportion equation
   37,082 : 76,754 = 76,754 : x
2. Step 2: Convert to fraction form
   37,082/76,754 = 76,754/x
3. Step 3: Cross multiply
   37,082x = 76,754 × 76,754
4. Step 4: Simplify right side
   37,082x = 5,891,176,516
5. Step 5: Solve for x
   x = 5,891,176,516/37,082
6. Step 6: Final answer
   x = 158,868.90