Finding the Third Proportional to 6,077 and 13,345

Step by Step Solution

1. Step 1: Write the proportion equation
   6,077 : 13,345 = 13,345 : x
2. Step 2: Convert to fraction form
   6,077/13,345 = 13,345/x
3. Step 3: Cross multiply
   6,077x = 13,345 × 13,345
4. Step 4: Simplify right side
   6,077x = 178,089,025
5. Step 5: Solve for x
   x = 178,089,025/6,077
6. Step 6: Final answer
   x = 29,305.42