Finding the Third Proportional to 10,005.75 and 14,491.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.75 : 14,491.69 = 14,491.69 : x
2. Step 2: Convert to fraction form
   10,005.75/14,491.69 = 14,491.69/x
3. Step 3: Cross multiply
   10,005.75x = 14,491.69 × 14,491.69
4. Step 4: Simplify right side
   10,005.75x = 210,009,006.60
5. Step 5: Solve for x
   x = 210,009,006.60/10,005.75
6. Step 6: Final answer
   x = 20,988.83