Finding the Third Proportional to 31,824 and 74,000

Step by Step Solution

1. Step 1: Write the proportion equation
   31,824 : 74,000 = 74,000 : x
2. Step 2: Convert to fraction form
   31,824/74,000 = 74,000/x
3. Step 3: Cross multiply
   31,824x = 74,000 × 74,000
4. Step 4: Simplify right side
   31,824x = 5,476,000,000
5. Step 5: Solve for x
   x = 5,476,000,000/31,824
6. Step 6: Final answer
   x = 172,071.39