Finding the Third Proportional to 30,924 and 67,680

Step by Step Solution

1. Step 1: Write the proportion equation
   30,924 : 67,680 = 67,680 : x
2. Step 2: Convert to fraction form
   30,924/67,680 = 67,680/x
3. Step 3: Cross multiply
   30,924x = 67,680 × 67,680
4. Step 4: Simplify right side
   30,924x = 4,580,582,400
5. Step 5: Solve for x
   x = 4,580,582,400/30,924
6. Step 6: Final answer
   x = 148,123.86