Finding the Third Proportional to 17,830 and 27,738

Step by Step Solution

1. Step 1: Write the proportion equation
   17,830 : 27,738 = 27,738 : x
2. Step 2: Convert to fraction form
   17,830/27,738 = 27,738/x
3. Step 3: Cross multiply
   17,830x = 27,738 × 27,738
4. Step 4: Simplify right side
   17,830x = 769,396,644
5. Step 5: Solve for x
   x = 769,396,644/17,830
6. Step 6: Final answer
   x = 43,151.80