Finding the Third Proportional to 32,766 and 49,314

Step by Step Solution

1. Step 1: Write the proportion equation
   32,766 : 49,314 = 49,314 : x
2. Step 2: Convert to fraction form
   32,766/49,314 = 49,314/x
3. Step 3: Cross multiply
   32,766x = 49,314 × 49,314
4. Step 4: Simplify right side
   32,766x = 2,431,870,596
5. Step 5: Solve for x
   x = 2,431,870,596/32,766
6. Step 6: Final answer
   x = 74,219.33