Finding the Third Proportional to 9,097 and 13,345

Step by Step Solution

1. Step 1: Write the proportion equation
   9,097 : 13,345 = 13,345 : x
2. Step 2: Convert to fraction form
   9,097/13,345 = 13,345/x
3. Step 3: Cross multiply
   9,097x = 13,345 × 13,345
4. Step 4: Simplify right side
   9,097x = 178,089,025
5. Step 5: Solve for x
   x = 178,089,025/9,097
6. Step 6: Final answer
   x = 19,576.68