Finding the Third Proportional to 4,144.50 and 9,097.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,144.50 : 9,097.31 = 9,097.31 : x
2. Step 2: Convert to fraction form
   4,144.50/9,097.31 = 9,097.31/x
3. Step 3: Cross multiply
   4,144.50x = 9,097.31 × 9,097.31
4. Step 4: Simplify right side
   4,144.50x = 82,761,094.72
5. Step 5: Solve for x
   x = 82,761,094.72/4,144.50
6. Step 6: Final answer
   x = 19,968.90