Finding the Third Proportional to 31,784 and 68,494

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784 : 68,494 = 68,494 : x
2. Step 2: Convert to fraction form
   31,784/68,494 = 68,494/x
3. Step 3: Cross multiply
   31,784x = 68,494 × 68,494
4. Step 4: Simplify right side
   31,784x = 4,691,428,036
5. Step 5: Solve for x
   x = 4,691,428,036/31,784
6. Step 6: Final answer
   x = 147,603.45