Finding the Third Proportional to 10,894.50 and 16,372.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,894.50 : 16,372.13 = 16,372.13 : x
2. Step 2: Convert to fraction form
   10,894.50/16,372.13 = 16,372.13/x
3. Step 3: Cross multiply
   10,894.50x = 16,372.13 × 16,372.13
4. Step 4: Simplify right side
   10,894.50x = 268,046,477.02
5. Step 5: Solve for x
   x = 268,046,477.02/10,894.50
6. Step 6: Final answer
   x = 24,603.83