Finding the Third Proportional to 6,327 and 9,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,327 : 9,109.50 = 9,109.50 : x
2. Step 2: Convert to fraction form
   6,327/9,109.50 = 9,109.50/x
3. Step 3: Cross multiply
   6,327x = 9,109.50 × 9,109.50
4. Step 4: Simplify right side
   6,327x = 82,982,990.25
5. Step 5: Solve for x
   x = 82,982,990.25/6,327
6. Step 6: Final answer
   x = 13,115.69