Finding the Third Proportional to 5,116.25 and 7,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.25 : 7,506.50 = 7,506.50 : x
2. Step 2: Convert to fraction form
   5,116.25/7,506.50 = 7,506.50/x
3. Step 3: Cross multiply
   5,116.25x = 7,506.50 × 7,506.50
4. Step 4: Simplify right side
   5,116.25x = 56,347,542.25
5. Step 5: Solve for x
   x = 56,347,542.25/5,116.25
6. Step 6: Final answer
   x = 11,013.45