Finding the Third Proportional to 31,824 and 69,184

Step by Step Solution

1. Step 1: Write the proportion equation
   31,824 : 69,184 = 69,184 : x
2. Step 2: Convert to fraction form
   31,824/69,184 = 69,184/x
3. Step 3: Cross multiply
   31,824x = 69,184 × 69,184
4. Step 4: Simplify right side
   31,824x = 4,786,425,856
5. Step 5: Solve for x
   x = 4,786,425,856/31,824
6. Step 6: Final answer
   x = 150,403.02