Finding the Third Proportional to 33,473 and 72,780

Step by Step Solution

1. Step 1: Write the proportion equation
   33,473 : 72,780 = 72,780 : x
2. Step 2: Convert to fraction form
   33,473/72,780 = 72,780/x
3. Step 3: Cross multiply
   33,473x = 72,780 × 72,780
4. Step 4: Simplify right side
   33,473x = 5,296,928,400
5. Step 5: Solve for x
   x = 5,296,928,400/33,473
6. Step 6: Final answer
   x = 158,244.81