Finding the Third Proportional to 6,541.50 and 8,705.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,541.50 : 8,705.25 = 8,705.25 : x
2. Step 2: Convert to fraction form
   6,541.50/8,705.25 = 8,705.25/x
3. Step 3: Cross multiply
   6,541.50x = 8,705.25 × 8,705.25
4. Step 4: Simplify right side
   6,541.50x = 75,781,377.56
5. Step 5: Solve for x
   x = 75,781,377.56/6,541.50
6. Step 6: Final answer
   x = 11,584.71