Finding the Third Proportional to 33,188 and 72,920

Step by Step Solution

1. Step 1: Write the proportion equation
   33,188 : 72,920 = 72,920 : x
2. Step 2: Convert to fraction form
   33,188/72,920 = 72,920/x
3. Step 3: Cross multiply
   33,188x = 72,920 × 72,920
4. Step 4: Simplify right side
   33,188x = 5,317,326,400
5. Step 5: Solve for x
   x = 5,317,326,400/33,188
6. Step 6: Final answer
   x = 160,218.34