Finding the Third Proportional to 42,565 and 67,367

Step by Step Solution

1. Step 1: Write the proportion equation
   42,565 : 67,367 = 67,367 : x
2. Step 2: Convert to fraction form
   42,565/67,367 = 67,367/x
3. Step 3: Cross multiply
   42,565x = 67,367 × 67,367
4. Step 4: Simplify right side
   42,565x = 4,538,312,689
5. Step 5: Solve for x
   x = 4,538,312,689/42,565
6. Step 6: Final answer
   x = 106,620.76