Finding the Third Proportional to 46,821 and 76,065

Step by Step Solution

1. Step 1: Write the proportion equation
   46,821 : 76,065 = 76,065 : x
2. Step 2: Convert to fraction form
   46,821/76,065 = 76,065/x
3. Step 3: Cross multiply
   46,821x = 76,065 × 76,065
4. Step 4: Simplify right side
   46,821x = 5,785,884,225
5. Step 5: Solve for x
   x = 5,785,884,225/46,821
6. Step 6: Final answer
   x = 123,574.55