Finding the Third Proportional to 42,548 and 67,342

Step by Step Solution

1. Step 1: Write the proportion equation
   42,548 : 67,342 = 67,342 : x
2. Step 2: Convert to fraction form
   42,548/67,342 = 67,342/x
3. Step 3: Cross multiply
   42,548x = 67,342 × 67,342
4. Step 4: Simplify right side
   42,548x = 4,534,944,964
5. Step 5: Solve for x
   x = 4,534,944,964/42,548
6. Step 6: Final answer
   x = 106,584.21