Finding the Third Proportional to 6,147.75 and 13,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,147.75 : 13,327.50 = 13,327.50 : x
2. Step 2: Convert to fraction form
   6,147.75/13,327.50 = 13,327.50/x
3. Step 3: Cross multiply
   6,147.75x = 13,327.50 × 13,327.50
4. Step 4: Simplify right side
   6,147.75x = 177,622,256.25
5. Step 5: Solve for x
   x = 177,622,256.25/6,147.75
6. Step 6: Final answer
   x = 28,892.24