Finding the Third Proportional to 5,910 and 7,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,910 : 7,003.50 = 7,003.50 : x
2. Step 2: Convert to fraction form
   5,910/7,003.50 = 7,003.50/x
3. Step 3: Cross multiply
   5,910x = 7,003.50 × 7,003.50
4. Step 4: Simplify right side
   5,910x = 49,049,012.25
5. Step 5: Solve for x
   x = 49,049,012.25/5,910
6. Step 6: Final answer
   x = 8,299.33