Finding the Third Proportional to 2,923.31 and 6,541.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,923.31 : 6,541.31 = 6,541.31 : x
2. Step 2: Convert to fraction form
   2,923.31/6,541.31 = 6,541.31/x
3. Step 3: Cross multiply
   2,923.31x = 6,541.31 × 6,541.31
4. Step 4: Simplify right side
   2,923.31x = 42,788,769.22
5. Step 5: Solve for x
   x = 42,788,769.22/2,923.31
6. Step 6: Final answer
   x = 14,637.08