Finding the Third Proportional to 6,504 and 7,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,504 : 7,111.50 = 7,111.50 : x
2. Step 2: Convert to fraction form
   6,504/7,111.50 = 7,111.50/x
3. Step 3: Cross multiply
   6,504x = 7,111.50 × 7,111.50
4. Step 4: Simplify right side
   6,504x = 50,573,432.25
5. Step 5: Solve for x
   x = 50,573,432.25/6,504
6. Step 6: Final answer
   x = 7,775.74