Finding the Third Proportional to 30,820 and 67,202

Step by Step Solution

1. Step 1: Write the proportion equation
   30,820 : 67,202 = 67,202 : x
2. Step 2: Convert to fraction form
   30,820/67,202 = 67,202/x
3. Step 3: Cross multiply
   30,820x = 67,202 × 67,202
4. Step 4: Simplify right side
   30,820x = 4,516,108,804
5. Step 5: Solve for x
   x = 4,516,108,804/30,820
6. Step 6: Final answer
   x = 146,531.76