Finding the Third Proportional to 33,498 and 82,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,498 : 82,597.50 = 82,597.50 : x
2. Step 2: Convert to fraction form
   33,498/82,597.50 = 82,597.50/x
3. Step 3: Cross multiply
   33,498x = 82,597.50 × 82,597.50
4. Step 4: Simplify right side
   33,498x = 6,822,347,006.25
5. Step 5: Solve for x
   x = 6,822,347,006.25/33,498
6. Step 6: Final answer
   x = 203,664.31