Finding the Third Proportional to 7,854.38 and 10,323.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,854.38 : 10,323.38 = 10,323.38 : x
2. Step 2: Convert to fraction form
   7,854.38/10,323.38 = 10,323.38/x
3. Step 3: Cross multiply
   7,854.38x = 10,323.38 × 10,323.38
4. Step 4: Simplify right side
   7,854.38x = 106,572,071.39
5. Step 5: Solve for x
   x = 106,572,071.39/7,854.38
6. Step 6: Final answer
   x = 13,568.50