Finding the Third Proportional to 5,209.31 and 8,094.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,209.31 : 8,094.94 = 8,094.94 : x
2. Step 2: Convert to fraction form
   5,209.31/8,094.94 = 8,094.94/x
3. Step 3: Cross multiply
   5,209.31x = 8,094.94 × 8,094.94
4. Step 4: Simplify right side
   5,209.31x = 65,528,013.13
5. Step 5: Solve for x
   x = 65,528,013.13/5,209.31
6. Step 6: Final answer
   x = 12,579.01