Finding the Third Proportional to 6,194 and 13,034

Step by Step Solution

1. Step 1: Write the proportion equation
   6,194 : 13,034 = 13,034 : x
2. Step 2: Convert to fraction form
   6,194/13,034 = 13,034/x
3. Step 3: Cross multiply
   6,194x = 13,034 × 13,034
4. Step 4: Simplify right side
   6,194x = 169,885,156
5. Step 5: Solve for x
   x = 169,885,156/6,194
6. Step 6: Final answer
   x = 27,427.37