Finding the Third Proportional to 16,046 and 38,654

Step by Step Solution

1. Step 1: Write the proportion equation
   16,046 : 38,654 = 38,654 : x
2. Step 2: Convert to fraction form
   16,046/38,654 = 38,654/x
3. Step 3: Cross multiply
   16,046x = 38,654 × 38,654
4. Step 4: Simplify right side
   16,046x = 1,494,131,716
5. Step 5: Solve for x
   x = 1,494,131,716/16,046
6. Step 6: Final answer
   x = 93,115.53