Finding the Third Proportional to 42,184 and 85,584

Step by Step Solution

1. Step 1: Write the proportion equation
   42,184 : 85,584 = 85,584 : x
2. Step 2: Convert to fraction form
   42,184/85,584 = 85,584/x
3. Step 3: Cross multiply
   42,184x = 85,584 × 85,584
4. Step 4: Simplify right side
   42,184x = 7,324,621,056
5. Step 5: Solve for x
   x = 7,324,621,056/42,184
6. Step 6: Final answer
   x = 173,635.05