Finding the Third Proportional to 42,400 and 67,126

Step by Step Solution

1. Step 1: Write the proportion equation
   42,400 : 67,126 = 67,126 : x
2. Step 2: Convert to fraction form
   42,400/67,126 = 67,126/x
3. Step 3: Cross multiply
   42,400x = 67,126 × 67,126
4. Step 4: Simplify right side
   42,400x = 4,505,899,876
5. Step 5: Solve for x
   x = 4,505,899,876/42,400
6. Step 6: Final answer
   x = 106,271.22