Finding the Third Proportional to 5,305.50 and 8,026.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,305.50 : 8,026.59 = 8,026.59 : x
2. Step 2: Convert to fraction form
   5,305.50/8,026.59 = 8,026.59/x
3. Step 3: Cross multiply
   5,305.50x = 8,026.59 × 8,026.59
4. Step 4: Simplify right side
   5,305.50x = 64,426,207.23
5. Step 5: Solve for x
   x = 64,426,207.23/5,305.50
6. Step 6: Final answer
   x = 12,143.29