Finding the Third Proportional to 33,213 and 71,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,213 : 71,674.50 = 71,674.50 : x
2. Step 2: Convert to fraction form
   33,213/71,674.50 = 71,674.50/x
3. Step 3: Cross multiply
   33,213x = 71,674.50 × 71,674.50
4. Step 4: Simplify right side
   33,213x = 5,137,233,950.25
5. Step 5: Solve for x
   x = 5,137,233,950.25/33,213
6. Step 6: Final answer
   x = 154,675.40