Finding the Third Proportional to 10,822.50 and 16,236

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822.50 : 16,236 = 16,236 : x
2. Step 2: Convert to fraction form
   10,822.50/16,236 = 16,236/x
3. Step 3: Cross multiply
   10,822.50x = 16,236 × 16,236
4. Step 4: Simplify right side
   10,822.50x = 263,607,696
5. Step 5: Solve for x
   x = 263,607,696/10,822.50
6. Step 6: Final answer
   x = 24,357.38