Finding the Third Proportional to 7,690 and 10,097.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,690 : 10,097.25 = 10,097.25 : x
2. Step 2: Convert to fraction form
   7,690/10,097.25 = 10,097.25/x
3. Step 3: Cross multiply
   7,690x = 10,097.25 × 10,097.25
4. Step 4: Simplify right side
   7,690x = 101,954,457.56
5. Step 5: Solve for x
   x = 101,954,457.56/7,690
6. Step 6: Final answer
   x = 13,258.06