Finding the Third Proportional to 46,825 and 71,799

Step by Step Solution

1. Step 1: Write the proportion equation
   46,825 : 71,799 = 71,799 : x
2. Step 2: Convert to fraction form
   46,825/71,799 = 71,799/x
3. Step 3: Cross multiply
   46,825x = 71,799 × 71,799
4. Step 4: Simplify right side
   46,825x = 5,155,096,401
5. Step 5: Solve for x
   x = 5,155,096,401/46,825
6. Step 6: Final answer
   x = 110,092.82