Finding the Third Proportional to 33,056 and 71,296

Step by Step Solution

1. Step 1: Write the proportion equation
   33,056 : 71,296 = 71,296 : x
2. Step 2: Convert to fraction form
   33,056/71,296 = 71,296/x
3. Step 3: Cross multiply
   33,056x = 71,296 × 71,296
4. Step 4: Simplify right side
   33,056x = 5,083,119,616
5. Step 5: Solve for x
   x = 5,083,119,616/33,056
6. Step 6: Final answer
   x = 153,772.98