Finding the Third Proportional to 33,224 and 72,677

Step by Step Solution

1. Step 1: Write the proportion equation
   33,224 : 72,677 = 72,677 : x
2. Step 2: Convert to fraction form
   33,224/72,677 = 72,677/x
3. Step 3: Cross multiply
   33,224x = 72,677 × 72,677
4. Step 4: Simplify right side
   33,224x = 5,281,946,329
5. Step 5: Solve for x
   x = 5,281,946,329/33,224
6. Step 6: Final answer
   x = 158,979.84