Finding the Third Proportional to 9,491.06 and 14,159.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,491.06 : 14,159.63 = 14,159.63 : x
2. Step 2: Convert to fraction form
   9,491.06/14,159.63 = 14,159.63/x
3. Step 3: Cross multiply
   9,491.06x = 14,159.63 × 14,159.63
4. Step 4: Simplify right side
   9,491.06x = 200,494,980.14
5. Step 5: Solve for x
   x = 200,494,980.14/9,491.06
6. Step 6: Final answer
   x = 21,124.61