Finding the Third Proportional to 11,776.50 and 16,206.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776.50 : 16,206.50 = 16,206.50 : x
2. Step 2: Convert to fraction form
   11,776.50/16,206.50 = 16,206.50/x
3. Step 3: Cross multiply
   11,776.50x = 16,206.50 × 16,206.50
4. Step 4: Simplify right side
   11,776.50x = 262,650,642.25
5. Step 5: Solve for x
   x = 262,650,642.25/11,776.50
6. Step 6: Final answer
   x = 22,302.95