Finding the Third Proportional to 33,653 and 52,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,653 : 52,798.50 = 52,798.50 : x
2. Step 2: Convert to fraction form
   33,653/52,798.50 = 52,798.50/x
3. Step 3: Cross multiply
   33,653x = 52,798.50 × 52,798.50
4. Step 4: Simplify right side
   33,653x = 2,787,681,602.25
5. Step 5: Solve for x
   x = 2,787,681,602.25/33,653
6. Step 6: Final answer
   x = 82,836.05