Finding the Third Proportional to 33,298 and 71,276

Step by Step Solution

1. Step 1: Write the proportion equation
   33,298 : 71,276 = 71,276 : x
2. Step 2: Convert to fraction form
   33,298/71,276 = 71,276/x
3. Step 3: Cross multiply
   33,298x = 71,276 × 71,276
4. Step 4: Simplify right side
   33,298x = 5,080,268,176
5. Step 5: Solve for x
   x = 5,080,268,176/33,298
6. Step 6: Final answer
   x = 152,569.77