Finding the Third Proportional to 33,410 and 71,268

Step by Step Solution

1. Step 1: Write the proportion equation
   33,410 : 71,268 = 71,268 : x
2. Step 2: Convert to fraction form
   33,410/71,268 = 71,268/x
3. Step 3: Cross multiply
   33,410x = 71,268 × 71,268
4. Step 4: Simplify right side
   33,410x = 5,079,127,824
5. Step 5: Solve for x
   x = 5,079,127,824/33,410
6. Step 6: Final answer
   x = 152,024.18