Finding the Third Proportional to 10,262.95 and 14,676.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262.95 : 14,676.82 = 14,676.82 : x
2. Step 2: Convert to fraction form
   10,262.95/14,676.82 = 14,676.82/x
3. Step 3: Cross multiply
   10,262.95x = 14,676.82 × 14,676.82
4. Step 4: Simplify right side
   10,262.95x = 215,409,054.49
5. Step 5: Solve for x
   x = 215,409,054.49/10,262.95
6. Step 6: Final answer
   x = 20,988.99