Finding the Third Proportional to 7,258.68 and 10,222.14

Step by Step Solution

1. Step 1: Write the proportion equation
   7,258.68 : 10,222.14 = 10,222.14 : x
2. Step 2: Convert to fraction form
   7,258.68/10,222.14 = 10,222.14/x
3. Step 3: Cross multiply
   7,258.68x = 10,222.14 × 10,222.14
4. Step 4: Simplify right side
   7,258.68x = 104,492,079.10
5. Step 5: Solve for x
   x = 104,492,079.10/7,258.68
6. Step 6: Final answer
   x = 14,395.47