Finding the Third Proportional to 6,644 and 14,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,644 : 14,097.50 = 14,097.50 : x
2. Step 2: Convert to fraction form
   6,644/14,097.50 = 14,097.50/x
3. Step 3: Cross multiply
   6,644x = 14,097.50 × 14,097.50
4. Step 4: Simplify right side
   6,644x = 198,739,506.25
5. Step 5: Solve for x
   x = 198,739,506.25/6,644
6. Step 6: Final answer
   x = 29,912.63