Finding the Third Proportional to 17,842 and 27,784

Step by Step Solution

1. Step 1: Write the proportion equation
   17,842 : 27,784 = 27,784 : x
2. Step 2: Convert to fraction form
   17,842/27,784 = 27,784/x
3. Step 3: Cross multiply
   17,842x = 27,784 × 27,784
4. Step 4: Simplify right side
   17,842x = 771,950,656
5. Step 5: Solve for x
   x = 771,950,656/17,842
6. Step 6: Final answer
   x = 43,265.93