Finding the Third Proportional to 8,024.63 and 10,649.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,024.63 : 10,649.25 = 10,649.25 : x
2. Step 2: Convert to fraction form
   8,024.63/10,649.25 = 10,649.25/x
3. Step 3: Cross multiply
   8,024.63x = 10,649.25 × 10,649.25
4. Step 4: Simplify right side
   8,024.63x = 113,406,525.56
5. Step 5: Solve for x
   x = 113,406,525.56/8,024.63
6. Step 6: Final answer
   x = 14,132.31