Finding the Third Proportional to 5,116 and 7,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116 : 7,505.50 = 7,505.50 : x
2. Step 2: Convert to fraction form
   5,116/7,505.50 = 7,505.50/x
3. Step 3: Cross multiply
   5,116x = 7,505.50 × 7,505.50
4. Step 4: Simplify right side
   5,116x = 56,332,530.25
5. Step 5: Solve for x
   x = 56,332,530.25/5,116
6. Step 6: Final answer
   x = 11,011.05