Finding the Third Proportional to 17,642 and 27,377

Step by Step Solution

1. Step 1: Write the proportion equation
   17,642 : 27,377 = 27,377 : x
2. Step 2: Convert to fraction form
   17,642/27,377 = 27,377/x
3. Step 3: Cross multiply
   17,642x = 27,377 × 27,377
4. Step 4: Simplify right side
   17,642x = 749,500,129
5. Step 5: Solve for x
   x = 749,500,129/17,642
6. Step 6: Final answer
   x = 42,483.85