Finding the Third Proportional to 10,005.50 and 14,491.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005.50 : 14,491.63 = 14,491.63 : x
2. Step 2: Convert to fraction form
   10,005.50/14,491.63 = 14,491.63/x
3. Step 3: Cross multiply
   10,005.50x = 14,491.63 × 14,491.63
4. Step 4: Simplify right side
   10,005.50x = 210,007,195.14
5. Step 5: Solve for x
   x = 210,007,195.14/10,005.50
6. Step 6: Final answer
   x = 20,989.18