Finding the Third Proportional to 31,824 and 74,856

Step by Step Solution

1. Step 1: Write the proportion equation
   31,824 : 74,856 = 74,856 : x
2. Step 2: Convert to fraction form
   31,824/74,856 = 74,856/x
3. Step 3: Cross multiply
   31,824x = 74,856 × 74,856
4. Step 4: Simplify right side
   31,824x = 5,603,420,736
5. Step 5: Solve for x
   x = 5,603,420,736/31,824
6. Step 6: Final answer
   x = 176,075.31