Finding the Third Proportional to 17,788 and 27,546

Step by Step Solution

1. Step 1: Write the proportion equation
   17,788 : 27,546 = 27,546 : x
2. Step 2: Convert to fraction form
   17,788/27,546 = 27,546/x
3. Step 3: Cross multiply
   17,788x = 27,546 × 27,546
4. Step 4: Simplify right side
   17,788x = 758,782,116
5. Step 5: Solve for x
   x = 758,782,116/17,788
6. Step 6: Final answer
   x = 42,656.97