Finding the Third Proportional to 42,412 and 67,147

Step by Step Solution

1. Step 1: Write the proportion equation
   42,412 : 67,147 = 67,147 : x
2. Step 2: Convert to fraction form
   42,412/67,147 = 67,147/x
3. Step 3: Cross multiply
   42,412x = 67,147 × 67,147
4. Step 4: Simplify right side
   42,412x = 4,508,719,609
5. Step 5: Solve for x
   x = 4,508,719,609/42,412
6. Step 6: Final answer
   x = 106,307.64