Finding the Third Proportional to 42,900 and 65,626

Step by Step Solution

1. Step 1: Write the proportion equation
   42,900 : 65,626 = 65,626 : x
2. Step 2: Convert to fraction form
   42,900/65,626 = 65,626/x
3. Step 3: Cross multiply
   42,900x = 65,626 × 65,626
4. Step 4: Simplify right side
   42,900x = 4,306,771,876
5. Step 5: Solve for x
   x = 4,306,771,876/42,900
6. Step 6: Final answer
   x = 100,390.95