Finding the Third Proportional to 17,752 and 27,834

Step by Step Solution

1. Step 1: Write the proportion equation
   17,752 : 27,834 = 27,834 : x
2. Step 2: Convert to fraction form
   17,752/27,834 = 27,834/x
3. Step 3: Cross multiply
   17,752x = 27,834 × 27,834
4. Step 4: Simplify right side
   17,752x = 774,731,556
5. Step 5: Solve for x
   x = 774,731,556/17,752
6. Step 6: Final answer
   x = 43,641.93