Finding the Third Proportional to 9,436.50 and 14,178.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,436.50 : 14,178.38 = 14,178.38 : x
2. Step 2: Convert to fraction form
   9,436.50/14,178.38 = 14,178.38/x
3. Step 3: Cross multiply
   9,436.50x = 14,178.38 × 14,178.38
4. Step 4: Simplify right side
   9,436.50x = 201,026,317.64
5. Step 5: Solve for x
   x = 201,026,317.64/9,436.50
6. Step 6: Final answer
   x = 21,303.06