Finding the Third Proportional to 4,711.50 and 7,126.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,711.50 : 7,126.88 = 7,126.88 : x
2. Step 2: Convert to fraction form
   4,711.50/7,126.88 = 7,126.88/x
3. Step 3: Cross multiply
   4,711.50x = 7,126.88 × 7,126.88
4. Step 4: Simplify right side
   4,711.50x = 50,792,347.27
5. Step 5: Solve for x
   x = 50,792,347.27/4,711.50
6. Step 6: Final answer
   x = 10,780.50