Finding the Third Proportional to 5,017.50 and 7,768.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,017.50 : 7,768.13 = 7,768.13 : x
2. Step 2: Convert to fraction form
   5,017.50/7,768.13 = 7,768.13/x
3. Step 3: Cross multiply
   5,017.50x = 7,768.13 × 7,768.13
4. Step 4: Simplify right side
   5,017.50x = 60,343,766.02
5. Step 5: Solve for x
   x = 60,343,766.02/5,017.50
6. Step 6: Final answer
   x = 12,026.66