Finding the Third Proportional to 30,924 and 67,368

Step by Step Solution

1. Step 1: Write the proportion equation
   30,924 : 67,368 = 67,368 : x
2. Step 2: Convert to fraction form
   30,924/67,368 = 67,368/x
3. Step 3: Cross multiply
   30,924x = 67,368 × 67,368
4. Step 4: Simplify right side
   30,924x = 4,538,447,424
5. Step 5: Solve for x
   x = 4,538,447,424/30,924
6. Step 6: Final answer
   x = 146,761.33