Finding the Third Proportional to 30,934 and 67,781

Step by Step Solution

1. Step 1: Write the proportion equation
   30,934 : 67,781 = 67,781 : x
2. Step 2: Convert to fraction form
   30,934/67,781 = 67,781/x
3. Step 3: Cross multiply
   30,934x = 67,781 × 67,781
4. Step 4: Simplify right side
   30,934x = 4,594,263,961
5. Step 5: Solve for x
   x = 4,594,263,961/30,934
6. Step 6: Final answer
   x = 148,518.26