Finding the Third Proportional to 5,111.50 and 6,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.50 : 6,820.50 = 6,820.50 : x
2. Step 2: Convert to fraction form
   5,111.50/6,820.50 = 6,820.50/x
3. Step 3: Cross multiply
   5,111.50x = 6,820.50 × 6,820.50
4. Step 4: Simplify right side
   5,111.50x = 46,519,220.25
5. Step 5: Solve for x
   x = 46,519,220.25/5,111.50
6. Step 6: Final answer
   x = 9,100.89