Finding the Third Proportional to 31,644 and 67,784

Step by Step Solution

1. Step 1: Write the proportion equation
   31,644 : 67,784 = 67,784 : x
2. Step 2: Convert to fraction form
   31,644/67,784 = 67,784/x
3. Step 3: Cross multiply
   31,644x = 67,784 × 67,784
4. Step 4: Simplify right side
   31,644x = 4,594,670,656
5. Step 5: Solve for x
   x = 4,594,670,656/31,644
6. Step 6: Final answer
   x = 145,198.79