Finding the Third Proportional to 17,346 and 37,842

Step by Step Solution

1. Step 1: Write the proportion equation
   17,346 : 37,842 = 37,842 : x
2. Step 2: Convert to fraction form
   17,346/37,842 = 37,842/x
3. Step 3: Cross multiply
   17,346x = 37,842 × 37,842
4. Step 4: Simplify right side
   17,346x = 1,432,016,964
5. Step 5: Solve for x
   x = 1,432,016,964/17,346
6. Step 6: Final answer
   x = 82,556.03