Finding the Third Proportional to 30,902 and 67,820

Step by Step Solution

1. Step 1: Write the proportion equation
   30,902 : 67,820 = 67,820 : x
2. Step 2: Convert to fraction form
   30,902/67,820 = 67,820/x
3. Step 3: Cross multiply
   30,902x = 67,820 × 67,820
4. Step 4: Simplify right side
   30,902x = 4,599,552,400
5. Step 5: Solve for x
   x = 4,599,552,400/30,902
6. Step 6: Final answer
   x = 148,843.19