Finding the Third Proportional to 9,091 and 12,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,091 : 12,216.50 = 12,216.50 : x
2. Step 2: Convert to fraction form
   9,091/12,216.50 = 12,216.50/x
3. Step 3: Cross multiply
   9,091x = 12,216.50 × 12,216.50
4. Step 4: Simplify right side
   9,091x = 149,242,872.25
5. Step 5: Solve for x
   x = 149,242,872.25/9,091
6. Step 6: Final answer
   x = 16,416.55