Finding the Third Proportional to 42,434 and 83,796

Step by Step Solution

1. Step 1: Write the proportion equation
   42,434 : 83,796 = 83,796 : x
2. Step 2: Convert to fraction form
   42,434/83,796 = 83,796/x
3. Step 3: Cross multiply
   42,434x = 83,796 × 83,796
4. Step 4: Simplify right side
   42,434x = 7,021,769,616
5. Step 5: Solve for x
   x = 7,021,769,616/42,434
6. Step 6: Final answer
   x = 165,475.08