Finding the Third Proportional to 33,840 and 72,876

Step by Step Solution

1. Step 1: Write the proportion equation
   33,840 : 72,876 = 72,876 : x
2. Step 2: Convert to fraction form
   33,840/72,876 = 72,876/x
3. Step 3: Cross multiply
   33,840x = 72,876 × 72,876
4. Step 4: Simplify right side
   33,840x = 5,310,911,376
5. Step 5: Solve for x
   x = 5,310,911,376/33,840
6. Step 6: Final answer
   x = 156,941.83