Finding the Third Proportional to 9,186 and 14,068.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,186 : 14,068.50 = 14,068.50 : x
2. Step 2: Convert to fraction form
   9,186/14,068.50 = 14,068.50/x
3. Step 3: Cross multiply
   9,186x = 14,068.50 × 14,068.50
4. Step 4: Simplify right side
   9,186x = 197,922,692.25
5. Step 5: Solve for x
   x = 197,922,692.25/9,186
6. Step 6: Final answer
   x = 21,546.12