Finding the Third Proportional to 5,677.03 and 8,348.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677.03 : 8,348.06 = 8,348.06 : x
2. Step 2: Convert to fraction form
   5,677.03/8,348.06 = 8,348.06/x
3. Step 3: Cross multiply
   5,677.03x = 8,348.06 × 8,348.06
4. Step 4: Simplify right side
   5,677.03x = 69,690,147.50
5. Step 5: Solve for x
   x = 69,690,147.50/5,677.03
6. Step 6: Final answer
   x = 12,275.81