Finding the Third Proportional to 11,106 and 13,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,106 : 13,495.50 = 13,495.50 : x
2. Step 2: Convert to fraction form
   11,106/13,495.50 = 13,495.50/x
3. Step 3: Cross multiply
   11,106x = 13,495.50 × 13,495.50
4. Step 4: Simplify right side
   11,106x = 182,128,520.25
5. Step 5: Solve for x
   x = 182,128,520.25/11,106
6. Step 6: Final answer
   x = 16,399.11