Finding the Third Proportional to 7,870.50 and 10,509.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,870.50 : 10,509.75 = 10,509.75 : x
2. Step 2: Convert to fraction form
   7,870.50/10,509.75 = 10,509.75/x
3. Step 3: Cross multiply
   7,870.50x = 10,509.75 × 10,509.75
4. Step 4: Simplify right side
   7,870.50x = 110,454,845.06
5. Step 5: Solve for x
   x = 110,454,845.06/7,870.50
6. Step 6: Final answer
   x = 14,034.03