Finding the Third Proportional to 30,194 and 67,300

Step by Step Solution

1. Step 1: Write the proportion equation
   30,194 : 67,300 = 67,300 : x
2. Step 2: Convert to fraction form
   30,194/67,300 = 67,300/x
3. Step 3: Cross multiply
   30,194x = 67,300 × 67,300
4. Step 4: Simplify right side
   30,194x = 4,529,290,000
5. Step 5: Solve for x
   x = 4,529,290,000/30,194
6. Step 6: Final answer
   x = 150,006.29