Finding the Third Proportional to 30,858 and 67,292

Step by Step Solution

1. Step 1: Write the proportion equation
   30,858 : 67,292 = 67,292 : x
2. Step 2: Convert to fraction form
   30,858/67,292 = 67,292/x
3. Step 3: Cross multiply
   30,858x = 67,292 × 67,292
4. Step 4: Simplify right side
   30,858x = 4,528,213,264
5. Step 5: Solve for x
   x = 4,528,213,264/30,858
6. Step 6: Final answer
   x = 146,743.58