Finding the Third Proportional to 33,964 and 80,298

Step by Step Solution

1. Step 1: Write the proportion equation
   33,964 : 80,298 = 80,298 : x
2. Step 2: Convert to fraction form
   33,964/80,298 = 80,298/x
3. Step 3: Cross multiply
   33,964x = 80,298 × 80,298
4. Step 4: Simplify right side
   33,964x = 6,447,768,804
5. Step 5: Solve for x
   x = 6,447,768,804/33,964
6. Step 6: Final answer
   x = 189,841.27