Finding the Third Proportional to 5,217 and 7,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,217 : 7,105.50 = 7,105.50 : x
2. Step 2: Convert to fraction form
   5,217/7,105.50 = 7,105.50/x
3. Step 3: Cross multiply
   5,217x = 7,105.50 × 7,105.50
4. Step 4: Simplify right side
   5,217x = 50,488,130.25
5. Step 5: Solve for x
   x = 50,488,130.25/5,217
6. Step 6: Final answer
   x = 9,677.62