Finding the Third Proportional to 30,692 and 67,126

Step by Step Solution

1. Step 1: Write the proportion equation
   30,692 : 67,126 = 67,126 : x
2. Step 2: Convert to fraction form
   30,692/67,126 = 67,126/x
3. Step 3: Cross multiply
   30,692x = 67,126 × 67,126
4. Step 4: Simplify right side
   30,692x = 4,505,899,876
5. Step 5: Solve for x
   x = 4,505,899,876/30,692
6. Step 6: Final answer
   x = 146,810.24