Finding the Third Proportional to 9,178 and 13,853

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178 : 13,853 = 13,853 : x
2. Step 2: Convert to fraction form
   9,178/13,853 = 13,853/x
3. Step 3: Cross multiply
   9,178x = 13,853 × 13,853
4. Step 4: Simplify right side
   9,178x = 191,905,609
5. Step 5: Solve for x
   x = 191,905,609/9,178
6. Step 6: Final answer
   x = 20,909.31