Finding the Third Proportional to 42,438 and 83,802

Step by Step Solution

1. Step 1: Write the proportion equation
   42,438 : 83,802 = 83,802 : x
2. Step 2: Convert to fraction form
   42,438/83,802 = 83,802/x
3. Step 3: Cross multiply
   42,438x = 83,802 × 83,802
4. Step 4: Simplify right side
   42,438x = 7,022,775,204
5. Step 5: Solve for x
   x = 7,022,775,204/42,438
6. Step 6: Final answer
   x = 165,483.18