Finding the Third Proportional to 42,106 and 67,101

Step by Step Solution

1. Step 1: Write the proportion equation
   42,106 : 67,101 = 67,101 : x
2. Step 2: Convert to fraction form
   42,106/67,101 = 67,101/x
3. Step 3: Cross multiply
   42,106x = 67,101 × 67,101
4. Step 4: Simplify right side
   42,106x = 4,502,544,201
5. Step 5: Solve for x
   x = 4,502,544,201/42,106
6. Step 6: Final answer
   x = 106,933.55