Finding the Third Proportional to 10,880 and 16,547.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,880 : 16,547.25 = 16,547.25 : x
2. Step 2: Convert to fraction form
   10,880/16,547.25 = 16,547.25/x
3. Step 3: Cross multiply
   10,880x = 16,547.25 × 16,547.25
4. Step 4: Simplify right side
   10,880x = 273,811,482.56
5. Step 5: Solve for x
   x = 273,811,482.56/10,880
6. Step 6: Final answer
   x = 25,166.50