Finding the Third Proportional to 17,912 and 27,678

Step by Step Solution

1. Step 1: Write the proportion equation
   17,912 : 27,678 = 27,678 : x
2. Step 2: Convert to fraction form
   17,912/27,678 = 27,678/x
3. Step 3: Cross multiply
   17,912x = 27,678 × 27,678
4. Step 4: Simplify right side
   17,912x = 766,071,684
5. Step 5: Solve for x
   x = 766,071,684/17,912
6. Step 6: Final answer
   x = 42,768.63