Finding the Third Proportional to 30,782 and 67,258

Step by Step Solution

1. Step 1: Write the proportion equation
   30,782 : 67,258 = 67,258 : x
2. Step 2: Convert to fraction form
   30,782/67,258 = 67,258/x
3. Step 3: Cross multiply
   30,782x = 67,258 × 67,258
4. Step 4: Simplify right side
   30,782x = 4,523,638,564
5. Step 5: Solve for x
   x = 4,523,638,564/30,782
6. Step 6: Final answer
   x = 146,957.27