Finding the Third Proportional to 33,817.50 and 52,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,817.50 : 52,609.50 = 52,609.50 : x
2. Step 2: Convert to fraction form
   33,817.50/52,609.50 = 52,609.50/x
3. Step 3: Cross multiply
   33,817.50x = 52,609.50 × 52,609.50
4. Step 4: Simplify right side
   33,817.50x = 2,767,759,490.25
5. Step 5: Solve for x
   x = 2,767,759,490.25/33,817.50
6. Step 6: Final answer
   x = 81,844.00