Finding the Third Proportional to 6,664.50 and 11,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,664.50 : 11,106.50 = 11,106.50 : x
2. Step 2: Convert to fraction form
   6,664.50/11,106.50 = 11,106.50/x
3. Step 3: Cross multiply
   6,664.50x = 11,106.50 × 11,106.50
4. Step 4: Simplify right side
   6,664.50x = 123,354,342.25
5. Step 5: Solve for x
   x = 123,354,342.25/6,664.50
6. Step 6: Final answer
   x = 18,509.17