Finding the Third Proportional to 17,842 and 38,154

Step by Step Solution

1. Step 1: Write the proportion equation
   17,842 : 38,154 = 38,154 : x
2. Step 2: Convert to fraction form
   17,842/38,154 = 38,154/x
3. Step 3: Cross multiply
   17,842x = 38,154 × 38,154
4. Step 4: Simplify right side
   17,842x = 1,455,727,716
5. Step 5: Solve for x
   x = 1,455,727,716/17,842
6. Step 6: Final answer
   x = 81,589.94