Finding the Third Proportional to 42,768 and 67,184

Step by Step Solution

1. Step 1: Write the proportion equation
   42,768 : 67,184 = 67,184 : x
2. Step 2: Convert to fraction form
   42,768/67,184 = 67,184/x
3. Step 3: Cross multiply
   42,768x = 67,184 × 67,184
4. Step 4: Simplify right side
   42,768x = 4,513,689,856
5. Step 5: Solve for x
   x = 4,513,689,856/42,768
6. Step 6: Final answer
   x = 105,538.95