Finding the Third Proportional to 9,817.47 and 13,880.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,817.47 : 13,880.46 = 13,880.46 : x
2. Step 2: Convert to fraction form
   9,817.47/13,880.46 = 13,880.46/x
3. Step 3: Cross multiply
   9,817.47x = 13,880.46 × 13,880.46
4. Step 4: Simplify right side
   9,817.47x = 192,667,043.34
5. Step 5: Solve for x
   x = 192,667,043.34/9,817.47
6. Step 6: Final answer
   x = 19,624.91