Finding the Third Proportional to 42,184 and 65,828

Step by Step Solution

1. Step 1: Write the proportion equation
   42,184 : 65,828 = 65,828 : x
2. Step 2: Convert to fraction form
   42,184/65,828 = 65,828/x
3. Step 3: Cross multiply
   42,184x = 65,828 × 65,828
4. Step 4: Simplify right side
   42,184x = 4,333,325,584
5. Step 5: Solve for x
   x = 4,333,325,584/42,184
6. Step 6: Final answer
   x = 102,724.39