Finding the Third Proportional to 6,156 and 13,194

Step by Step Solution

1. Step 1: Write the proportion equation
   6,156 : 13,194 = 13,194 : x
2. Step 2: Convert to fraction form
   6,156/13,194 = 13,194/x
3. Step 3: Cross multiply
   6,156x = 13,194 × 13,194
4. Step 4: Simplify right side
   6,156x = 174,081,636
5. Step 5: Solve for x
   x = 174,081,636/6,156
6. Step 6: Final answer
   x = 28,278.37