Finding the Third Proportional to 11,643.75 and 16,277.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,643.75 : 16,277.63 = 16,277.63 : x
2. Step 2: Convert to fraction form
   11,643.75/16,277.63 = 16,277.63/x
3. Step 3: Cross multiply
   11,643.75x = 16,277.63 × 16,277.63
4. Step 4: Simplify right side
   11,643.75x = 264,961,075.64
5. Step 5: Solve for x
   x = 264,961,075.64/11,643.75
6. Step 6: Final answer
   x = 22,755.65