Finding the Third Proportional to 5,142 and 7,710

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142 : 7,710 = 7,710 : x
2. Step 2: Convert to fraction form
   5,142/7,710 = 7,710/x
3. Step 3: Cross multiply
   5,142x = 7,710 × 7,710
4. Step 4: Simplify right side
   5,142x = 59,444,100
5. Step 5: Solve for x
   x = 59,444,100/5,142
6. Step 6: Final answer
   x = 11,560.50