Finding the Third Proportional to 7,797.38 and 10,298.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,797.38 : 10,298.25 = 10,298.25 : x
2. Step 2: Convert to fraction form
   7,797.38/10,298.25 = 10,298.25/x
3. Step 3: Cross multiply
   7,797.38x = 10,298.25 × 10,298.25
4. Step 4: Simplify right side
   7,797.38x = 106,053,953.06
5. Step 5: Solve for x
   x = 106,053,953.06/7,797.38
6. Step 6: Final answer
   x = 13,601.24