Finding the Third Proportional to 33,583.50 and 73,323

Step by Step Solution

1. Step 1: Write the proportion equation
   33,583.50 : 73,323 = 73,323 : x
2. Step 2: Convert to fraction form
   33,583.50/73,323 = 73,323/x
3. Step 3: Cross multiply
   33,583.50x = 73,323 × 73,323
4. Step 4: Simplify right side
   33,583.50x = 5,376,262,329
5. Step 5: Solve for x
   x = 5,376,262,329/33,583.50
6. Step 6: Final answer
   x = 160,086.42