Finding the Third Proportional to 13,097 and 20,314

Step by Step Solution

1. Step 1: Write the proportion equation
   13,097 : 20,314 = 20,314 : x
2. Step 2: Convert to fraction form
   13,097/20,314 = 20,314/x
3. Step 3: Cross multiply
   13,097x = 20,314 × 20,314
4. Step 4: Simplify right side
   13,097x = 412,658,596
5. Step 5: Solve for x
   x = 412,658,596/13,097
6. Step 6: Final answer
   x = 31,507.87