Finding the Third Proportional to 42,420 and 67,159

Step by Step Solution

1. Step 1: Write the proportion equation
   42,420 : 67,159 = 67,159 : x
2. Step 2: Convert to fraction form
   42,420/67,159 = 67,159/x
3. Step 3: Cross multiply
   42,420x = 67,159 × 67,159
4. Step 4: Simplify right side
   42,420x = 4,510,331,281
5. Step 5: Solve for x
   x = 4,510,331,281/42,420
6. Step 6: Final answer
   x = 106,325.58