Finding the Third Proportional to 6,543 and 10,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,543 : 10,906.50 = 10,906.50 : x
2. Step 2: Convert to fraction form
   6,543/10,906.50 = 10,906.50/x
3. Step 3: Cross multiply
   6,543x = 10,906.50 × 10,906.50
4. Step 4: Simplify right side
   6,543x = 118,951,742.25
5. Step 5: Solve for x
   x = 118,951,742.25/6,543
6. Step 6: Final answer
   x = 18,180.00