Finding the Third Proportional to 4,971.50 and 7,727.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,971.50 : 7,727.25 = 7,727.25 : x
2. Step 2: Convert to fraction form
   4,971.50/7,727.25 = 7,727.25/x
3. Step 3: Cross multiply
   4,971.50x = 7,727.25 × 7,727.25
4. Step 4: Simplify right side
   4,971.50x = 59,710,392.56
5. Step 5: Solve for x
   x = 59,710,392.56/4,971.50
6. Step 6: Final answer
   x = 12,010.54