Finding the Third Proportional to 10,914.75 and 16,463.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,914.75 : 16,463.25 = 16,463.25 : x
2. Step 2: Convert to fraction form
   10,914.75/16,463.25 = 16,463.25/x
3. Step 3: Cross multiply
   10,914.75x = 16,463.25 × 16,463.25
4. Step 4: Simplify right side
   10,914.75x = 271,038,600.56
5. Step 5: Solve for x
   x = 271,038,600.56/10,914.75
6. Step 6: Final answer
   x = 24,832.32