Finding the Third Proportional to 22,830 and 46,288

Step by Step Solution

1. Step 1: Write the proportion equation
   22,830 : 46,288 = 46,288 : x
2. Step 2: Convert to fraction form
   22,830/46,288 = 46,288/x
3. Step 3: Cross multiply
   22,830x = 46,288 × 46,288
4. Step 4: Simplify right side
   22,830x = 2,142,578,944
5. Step 5: Solve for x
   x = 2,142,578,944/22,830
6. Step 6: Final answer
   x = 93,849.27