Finding the Third Proportional to 33,420 and 72,296

Step by Step Solution

1. Step 1: Write the proportion equation
   33,420 : 72,296 = 72,296 : x
2. Step 2: Convert to fraction form
   33,420/72,296 = 72,296/x
3. Step 3: Cross multiply
   33,420x = 72,296 × 72,296
4. Step 4: Simplify right side
   33,420x = 5,226,711,616
5. Step 5: Solve for x
   x = 5,226,711,616/33,420
6. Step 6: Final answer
   x = 156,394.72