Finding the Third Proportional to 5,225.38 and 8,094.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,225.38 : 8,094.31 = 8,094.31 : x
2. Step 2: Convert to fraction form
   5,225.38/8,094.31 = 8,094.31/x
3. Step 3: Cross multiply
   5,225.38x = 8,094.31 × 8,094.31
4. Step 4: Simplify right side
   5,225.38x = 65,517,894.85
5. Step 5: Solve for x
   x = 65,517,894.85/5,225.38
6. Step 6: Final answer
   x = 12,538.41