Finding the Third Proportional to 42,168 and 67,140

Step by Step Solution

1. Step 1: Write the proportion equation
   42,168 : 67,140 = 67,140 : x
2. Step 2: Convert to fraction form
   42,168/67,140 = 67,140/x
3. Step 3: Cross multiply
   42,168x = 67,140 × 67,140
4. Step 4: Simplify right side
   42,168x = 4,507,779,600
5. Step 5: Solve for x
   x = 4,507,779,600/42,168
6. Step 6: Final answer
   x = 106,900.48