Finding the Third Proportional to 30,768 and 67,094

Step by Step Solution

1. Step 1: Write the proportion equation
   30,768 : 67,094 = 67,094 : x
2. Step 2: Convert to fraction form
   30,768/67,094 = 67,094/x
3. Step 3: Cross multiply
   30,768x = 67,094 × 67,094
4. Step 4: Simplify right side
   30,768x = 4,501,604,836
5. Step 5: Solve for x
   x = 4,501,604,836/30,768
6. Step 6: Final answer
   x = 146,308.01