Finding the Third Proportional to 17,784 and 27,406

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 27,406 = 27,406 : x
2. Step 2: Convert to fraction form
   17,784/27,406 = 27,406/x
3. Step 3: Cross multiply
   17,784x = 27,406 × 27,406
4. Step 4: Simplify right side
   17,784x = 751,088,836
5. Step 5: Solve for x
   x = 751,088,836/17,784
6. Step 6: Final answer
   x = 42,233.97