Finding the Third Proportional to 11,564.25 and 12,779.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564.25 : 12,779.25 = 12,779.25 : x
2. Step 2: Convert to fraction form
   11,564.25/12,779.25 = 12,779.25/x
3. Step 3: Cross multiply
   11,564.25x = 12,779.25 × 12,779.25
4. Step 4: Simplify right side
   11,564.25x = 163,309,230.56
5. Step 5: Solve for x
   x = 163,309,230.56/11,564.25
6. Step 6: Final answer
   x = 14,121.90