Finding the Third Proportional to 9,460 and 13,654

Step by Step Solution

1. Step 1: Write the proportion equation
   9,460 : 13,654 = 13,654 : x
2. Step 2: Convert to fraction form
   9,460/13,654 = 13,654/x
3. Step 3: Cross multiply
   9,460x = 13,654 × 13,654
4. Step 4: Simplify right side
   9,460x = 186,431,716
5. Step 5: Solve for x
   x = 186,431,716/9,460
6. Step 6: Final answer
   x = 19,707.37