Finding the Third Proportional to 33,218 and 71,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,218 : 71,653.50 = 71,653.50 : x
2. Step 2: Convert to fraction form
   33,218/71,653.50 = 71,653.50/x
3. Step 3: Cross multiply
   33,218x = 71,653.50 × 71,653.50
4. Step 4: Simplify right side
   33,218x = 5,134,224,062.25
5. Step 5: Solve for x
   x = 5,134,224,062.25/33,218
6. Step 6: Final answer
   x = 154,561.50