Finding the Third Proportional to 6,178 and 13,490

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178 : 13,490 = 13,490 : x
2. Step 2: Convert to fraction form
   6,178/13,490 = 13,490/x
3. Step 3: Cross multiply
   6,178x = 13,490 × 13,490
4. Step 4: Simplify right side
   6,178x = 181,980,100
5. Step 5: Solve for x
   x = 181,980,100/6,178
6. Step 6: Final answer
   x = 29,456.15