Finding the Third Proportional to 22,500 and 49,236

Step by Step Solution

1. Step 1: Write the proportion equation
   22,500 : 49,236 = 49,236 : x
2. Step 2: Convert to fraction form
   22,500/49,236 = 49,236/x
3. Step 3: Cross multiply
   22,500x = 49,236 × 49,236
4. Step 4: Simplify right side
   22,500x = 2,424,183,696
5. Step 5: Solve for x
   x = 2,424,183,696/22,500
6. Step 6: Final answer
   x = 107,741.50