Finding the Third Proportional to 10,894.50 and 16,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,894.50 : 16,465.50 = 16,465.50 : x
2. Step 2: Convert to fraction form
   10,894.50/16,465.50 = 16,465.50/x
3. Step 3: Cross multiply
   10,894.50x = 16,465.50 × 16,465.50
4. Step 4: Simplify right side
   10,894.50x = 271,112,690.25
5. Step 5: Solve for x
   x = 271,112,690.25/10,894.50
6. Step 6: Final answer
   x = 24,885.28