Finding the Third Proportional to 33,546 and 53,074

Step by Step Solution

1. Step 1: Write the proportion equation
   33,546 : 53,074 = 53,074 : x
2. Step 2: Convert to fraction form
   33,546/53,074 = 53,074/x
3. Step 3: Cross multiply
   33,546x = 53,074 × 53,074
4. Step 4: Simplify right side
   33,546x = 2,816,849,476
5. Step 5: Solve for x
   x = 2,816,849,476/33,546
6. Step 6: Final answer
   x = 83,969.76