Finding the Third Proportional to 5,097 and 10,748

Step by Step Solution

1. Step 1: Write the proportion equation
   5,097 : 10,748 = 10,748 : x
2. Step 2: Convert to fraction form
   5,097/10,748 = 10,748/x
3. Step 3: Cross multiply
   5,097x = 10,748 × 10,748
4. Step 4: Simplify right side
   5,097x = 115,519,504
5. Step 5: Solve for x
   x = 115,519,504/5,097
6. Step 6: Final answer
   x = 22,664.22