Finding the Third Proportional to 31,824 and 69,354

Step by Step Solution

1. Step 1: Write the proportion equation
   31,824 : 69,354 = 69,354 : x
2. Step 2: Convert to fraction form
   31,824/69,354 = 69,354/x
3. Step 3: Cross multiply
   31,824x = 69,354 × 69,354
4. Step 4: Simplify right side
   31,824x = 4,809,977,316
5. Step 5: Solve for x
   x = 4,809,977,316/31,824
6. Step 6: Final answer
   x = 151,143.08