Finding the Third Proportional to 10,814.63 and 23,977.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814.63 : 23,977.69 = 23,977.69 : x
2. Step 2: Convert to fraction form
   10,814.63/23,977.69 = 23,977.69/x
3. Step 3: Cross multiply
   10,814.63x = 23,977.69 × 23,977.69
4. Step 4: Simplify right side
   10,814.63x = 574,929,497.85
5. Step 5: Solve for x
   x = 574,929,497.85/10,814.63
6. Step 6: Final answer
   x = 53,162.22