Finding the Third Proportional to 45,494 and 69,682

Step by Step Solution

1. Step 1: Write the proportion equation
   45,494 : 69,682 = 69,682 : x
2. Step 2: Convert to fraction form
   45,494/69,682 = 69,682/x
3. Step 3: Cross multiply
   45,494x = 69,682 × 69,682
4. Step 4: Simplify right side
   45,494x = 4,855,581,124
5. Step 5: Solve for x
   x = 4,855,581,124/45,494
6. Step 6: Final answer
   x = 106,730.14