Finding the Third Proportional to 22,666 and 49,364

Step by Step Solution

1. Step 1: Write the proportion equation
   22,666 : 49,364 = 49,364 : x
2. Step 2: Convert to fraction form
   22,666/49,364 = 49,364/x
3. Step 3: Cross multiply
   22,666x = 49,364 × 49,364
4. Step 4: Simplify right side
   22,666x = 2,436,804,496
5. Step 5: Solve for x
   x = 2,436,804,496/22,666
6. Step 6: Final answer
   x = 107,509.24