Finding the Third Proportional to 22,700 and 49,288

Step by Step Solution

1. Step 1: Write the proportion equation
   22,700 : 49,288 = 49,288 : x
2. Step 2: Convert to fraction form
   22,700/49,288 = 49,288/x
3. Step 3: Cross multiply
   22,700x = 49,288 × 49,288
4. Step 4: Simplify right side
   22,700x = 2,429,306,944
5. Step 5: Solve for x
   x = 2,429,306,944/22,700
6. Step 6: Final answer
   x = 107,017.93